Pith Number

pith:O3H2H43E

pith:2010:O3H2H43ELB4DIHQXRBQ2RCEZSP

not attested not anchored not stored refs pending

Global evolution of random vortex filament equation

M. Gubinelli, M. Neklyudov, Z. Brze\'zniak

arxiv:1008.1086 v5 · 2010-08-05 · math.PR · math-ph · math.AP · 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{O3H2H43ELB4DIHQXRBQ2RCEZSP}

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	2026-05-18T03:19:22.749126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76cfa3f3645878341e178861a8889993d1d2e597de3186d0d6630c55a5b05142

Aliases

arxiv: 1008.1086 · arxiv_version: 1008.1086v5 · doi: 10.48550/arxiv.1008.1086 · pith_short_12: O3H2H43ELB4D · pith_short_16: O3H2H43ELB4DIHQX · pith_short_8: O3H2H43E

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/O3H2H43ELB4DIHQXRBQ2RCEZSP \
  | 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: 76cfa3f3645878341e178861a8889993d1d2e597de3186d0d6630c55a5b05142

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f711de314ece10f4f93696d9b827e354beb002d6f44e12836ff1bfb8b179b9e4",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-05T21:09:08Z",
    "title_canon_sha256": "8e792483c709fd696f6494443104afae3ad8539ef8ae67cc6b31117fa6b6ceaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1086",
    "kind": "arxiv",
    "version": 5
  }
}