Pith Number

pith:FYEE66I4

pith:2007:FYEE66I4KYOLVZDTXAHQCYFTGI

not attested not anchored not stored refs pending

Large, global solutions to the Navier-Stokes equations, slowly varying in one direction

Isabelle Gallagher (IMJ), Jean-Yves Chemin (LJLL)

arxiv:0710.5408 v2 · 2007-10-29 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYEE66I4KYOLVZDTXAHQCYFTGI}

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	2026-07-04T15:05:17.204345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e084f791c561cbae473b80f0160b3320bec8e0bedf19d1f1be23b535c45a017

Aliases

arxiv: 0710.5408 · arxiv_version: 0710.5408v2 · doi: 10.48550/arxiv.0710.5408 · pith_short_12: FYEE66I4KYOL · pith_short_16: FYEE66I4KYOLVZDT · pith_short_8: FYEE66I4

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/FYEE66I4KYOLVZDTXAHQCYFTGI \
  | 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: 2e084f791c561cbae473b80f0160b3320bec8e0bedf19d1f1be23b535c45a017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd24c70a6ec768c5fb7315021084456afdc1868a556aabb0088903c0c9fd43ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-10-29T12:42:06Z",
    "title_canon_sha256": "73f2801556acf446e2ce7d72ce83bea766d6d64713a080db2be280828928a8c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5408",
    "kind": "arxiv",
    "version": 2
  }
}