Pith Number

pith:ARR5Y4Q7

pith:2013:ARR5Y4Q7RMKSQFWLIK2FQ3N2TM

not attested not anchored not stored refs pending

Stochastic isentropic Euler equations

Florent Berthelin, Julien Vovelle

arxiv:1310.8093 v5 · 2013-10-30 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ARR5Y4Q7RMKSQFWLIK2FQ3N2TM}

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	2026-05-18T01:24:11.341957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0463dc721f8b152816cb42b4586dba9b06c65cd1cb2b48473275b7c50cb810aa

Aliases

arxiv: 1310.8093 · arxiv_version: 1310.8093v5 · doi: 10.48550/arxiv.1310.8093 · pith_short_12: ARR5Y4Q7RMKS · pith_short_16: ARR5Y4Q7RMKSQFWL · pith_short_8: ARR5Y4Q7

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/ARR5Y4Q7RMKSQFWLIK2FQ3N2TM \
  | 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: 0463dc721f8b152816cb42b4586dba9b06c65cd1cb2b48473275b7c50cb810aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4ca26bfb8d37135d54dd8448f8588c80107848f25a56d8acd58441c96b0fbe",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-30T10:34:21Z",
    "title_canon_sha256": "c06151b1eaa7c259d5112fe3afcbcc358f1b133ce2eed48502960992d325bc32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8093",
    "kind": "arxiv",
    "version": 5
  }
}