Pith Number

pith:BY4RZY26

pith:2013:BY4RZY263CV4HHA5QT4ZVKVAOJ

not attested not anchored not stored refs pending

On critical behavior in nonlinear evolutionary PDEs with small viscosity

Boris Dubrovin, Maria Elaeva

arxiv:1301.7216 v1 · 2013-01-30 · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BY4RZY263CV4HHA5QT4ZVKVAOJ}

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.

Cited by

1 paper in Pith

Phase transitions and finite-size effects in integrable virial statistical models

Receipt and verification

First computed	2026-05-18T03:35:00.928774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e391ce35ed8abc39c1d84f99aaaa07259b30663055a798835d3248db0ad4be8

Aliases

arxiv: 1301.7216 · arxiv_version: 1301.7216v1 · doi: 10.48550/arxiv.1301.7216 · pith_short_12: BY4RZY263CV4 · pith_short_16: BY4RZY263CV4HHA5 · pith_short_8: BY4RZY26

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/BY4RZY263CV4HHA5QT4ZVKVAOJ \
  | 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: 0e391ce35ed8abc39c1d84f99aaaa07259b30663055a798835d3248db0ad4be8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec5973cf79a07fa100d13cc53a5e6c34f56516c80ec022a56d0c1876218e55d7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-30T13:28:10Z",
    "title_canon_sha256": "01a8b79b4536ecaf74cf2ec993def5aed71d3d87c3da6f5fe58e61b23e1e34da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7216",
    "kind": "arxiv",
    "version": 1
  }
}