Pith Number

pith:VXTX4ECD

pith:2011:VXTX4ECD2SBSZPWRGHMZ7MMA5Q

not attested not anchored not stored refs pending

Quartic Lattice Interactions, Soliton-like Excitations and Electron Pairing in One-Dimensional Anharmonic Crystals

2), (2) Bogolyubov Institute for Theoretical Physics, 3), (3) Faculty of Physics, 4), (4) CCMAR, 5), (5) Institut f\"ur Physik, 6) ((1) Instituto Pluridisciplinar, (6) Institut f\"ur Physik, A. P. Chetverikov (1, Berlin, Campus de Gambelas, Chernyshevsky State University, Faro, FCT, Germany, Germany), G. R\"opke (1, Humboldt Universit\"at, Kyiv, L. Brizhik (1, L. Cruzeiro (1, Madrid, M. G. Velarde (1), Portugal, Rostock, Russia, Saratov, Spain, Ukraine, Universidad Complutense, Universidade do Algarve, Universit\"at Rostock, W. Ebeling (1

arxiv:1109.3992 v1 · 2011-09-19 · cond-mat.str-el · nlin.PS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXTX4ECD2SBSZPWRGHMZ7MMA5Q}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:12:45.397554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ade77e1043d4832cbed131d99fb180ec15f349c5f458be139bb0f7df05a027d1

Aliases

arxiv: 1109.3992 · arxiv_version: 1109.3992v1 · doi: 10.48550/arxiv.1109.3992 · pith_short_12: VXTX4ECD2SBS · pith_short_16: VXTX4ECD2SBSZPWR · pith_short_8: VXTX4ECD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VXTX4ECD2SBSZPWRGHMZ7MMA5Q \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ade77e1043d4832cbed131d99fb180ec15f349c5f458be139bb0f7df05a027d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba6c8fbc8a287275d32d18e729859ceaa07036dda7653dad999d2153411c0bed",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-09-19T10:41:43Z",
    "title_canon_sha256": "146a9be0f2fb50a496f3e00d52a377c33b9b6cb4ce739dd404eb4a252fc9f999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3992",
    "kind": "arxiv",
    "version": 1
  }
}