Pith Number

pith:BCMGPYSG

pith:2012:BCMGPYSGOHIHJ5V4QFNMSRYTFJ

not attested not anchored not stored refs pending

Dark solitons and vortices in PT-symmetric nonlinear media: from spontaneous symmetry breaking to nonlinear PT phase transitions

D.J. Frantzeskakis, P.G. Kevrekidis, R. Carretero-Gonz\'alez, V. Achilleos

arxiv:1202.1310 v2 · 2012-02-06 · nlin.PS · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCMGPYSGOHIHJ5V4QFNMSRYTFJ}

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	2026-05-18T02:32:22.803687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089867e24671d074f6bc815ac947132a5f929f4356b914feaad4438392dc3c93

Aliases

arxiv: 1202.1310 · arxiv_version: 1202.1310v2 · doi: 10.48550/arxiv.1202.1310 · pith_short_12: BCMGPYSGOHIH · pith_short_16: BCMGPYSGOHIHJ5V4 · pith_short_8: BCMGPYSG

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/BCMGPYSGOHIHJ5V4QFNMSRYTFJ \
  | 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: 089867e24671d074f6bc815ac947132a5f929f4356b914feaad4438392dc3c93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "863b0ca6b480a479971cdf0548fda0c1c06196b0886e983d104643919bbb2afc",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2012-02-06T22:49:15Z",
    "title_canon_sha256": "4a31d774100f9d2fd0e08885b74819ad9640dc49ad82c5df3b8ca26891eb62a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1310",
    "kind": "arxiv",
    "version": 2
  }
}