Pith Number

pith:Y437QTVP

pith:2011:Y437QTVPLAOMCQMSZ6WVWYH57Y

not attested not anchored not stored refs pending

A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation

Anatoliy K. Prykarpatsky, Denis Blackmore, Jolanta Golenia, Yarema A. Prykarpatsky

arxiv:1105.4403 v3 · 2011-05-23 · nlin.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y437QTVPLAOMCQMSZ6WVWYH57Y}

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	2026-05-18T03:57:53.480202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c737f84eaf581cc14192cfad5b60fdfe05008d19a39961bd552120ff8f37f1cc

Aliases

arxiv: 1105.4403 · arxiv_version: 1105.4403v3 · doi: 10.48550/arxiv.1105.4403 · pith_short_12: Y437QTVPLAOM · pith_short_16: Y437QTVPLAOMCQMS · pith_short_8: Y437QTVP

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/Y437QTVPLAOMCQMSZ6WVWYH57Y \
  | 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: c737f84eaf581cc14192cfad5b60fdfe05008d19a39961bd552120ff8f37f1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "162da6d08b691b68e0ce57f39236517cea1b58ea18175dfbb69cf989c6dd2dfa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-05-23T05:02:04Z",
    "title_canon_sha256": "baeb86ff87bbf4f14dfe4175da1f0696ffb6909134dd8edff3e76b6563a8da22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4403",
    "kind": "arxiv",
    "version": 3
  }
}