Pith Number

pith:VI3JZQQW

pith:2013:VI3JZQQWBFPPRARR4C5CUTOQBX

not attested not anchored not stored refs pending

On a 2D stochastic Euler equation of transport type: existence and geometric formulation

Ana Bela Cruzeiro, Iv\'an Torrecilla

arxiv:1305.7086 v3 · 2013-05-30 · 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{VI3JZQQWBFPPRARR4C5CUTOQBX}

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	2026-05-18T02:58:46.083016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa369cc216095ef88231e0ba2a4dd00de8ff151d24b6b3ca38ba85eb822e2398

Aliases

arxiv: 1305.7086 · arxiv_version: 1305.7086v3 · doi: 10.48550/arxiv.1305.7086 · pith_short_12: VI3JZQQWBFPP · pith_short_16: VI3JZQQWBFPPRARR · pith_short_8: VI3JZQQW

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/VI3JZQQWBFPPRARR4C5CUTOQBX \
  | 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: aa369cc216095ef88231e0ba2a4dd00de8ff151d24b6b3ca38ba85eb822e2398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9108ca1e887206ac1a89a3b0c1c05da1b677596bac650bd04aaf0eec1bf7503",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-30T12:49:57Z",
    "title_canon_sha256": "4e6aedf8320ec110a007331731e6594284dee21da381dbea286339dc78af029f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7086",
    "kind": "arxiv",
    "version": 3
  }
}