Pith Number

pith:TSXKL3HV

pith:2015:TSXKL3HV7WRMBHGQDUQAXBYP4R

not attested not anchored not stored refs pending

Modulational instability and localized breather modes in the discrete nonlinear Schr\"odinger equation with helicoidal hopping

J. Stockhofe, P. Schmelcher

arxiv:1510.04481 v2 · 2015-10-15 · cond-mat.quant-gas · nlin.PS · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSXKL3HV7WRMBHGQDUQAXBYP4R}

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	2026-05-18T01:12:40.460086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9caea5ecf5fda2c09cd01d200b870fe45fc2eb28d1517d567a0df5ac19d6c19e

Aliases

arxiv: 1510.04481 · arxiv_version: 1510.04481v2 · doi: 10.48550/arxiv.1510.04481 · pith_short_12: TSXKL3HV7WRM · pith_short_16: TSXKL3HV7WRMBHGQ · pith_short_8: TSXKL3HV

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/TSXKL3HV7WRMBHGQDUQAXBYP4R \
  | 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: 9caea5ecf5fda2c09cd01d200b870fe45fc2eb28d1517d567a0df5ac19d6c19e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03e3ae19072cc0c55b0b79e00ca93b95997f84de6a0625d6d1e49517fb8b1bd7",
    "cross_cats_sorted": [
      "nlin.PS",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2015-10-15T11:57:58Z",
    "title_canon_sha256": "9b2084b20a35f8fad4fe45c251160274b13fb14e2695851e584ee2a058ac5eee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04481",
    "kind": "arxiv",
    "version": 2
  }
}