Pith Number

pith:HTL3JPXP

pith:2010:HTL3JPXPXRY5Y52AUFQKELYRJ6

not attested not anchored not stored refs pending

Sums of large global solutions to the incompressible Navier-Stokes equations

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

arxiv:1002.4736 v2 · 2010-02-25 · 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{HTL3JPXPXRY5Y52AUFQKELYRJ6}

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	2026-05-18T04:40:00.631877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cd7b4beefbc71dc7740a160a22f114fb4cd724506fa670a06c9cbf2f12123bf

Aliases

arxiv: 1002.4736 · arxiv_version: 1002.4736v2 · doi: 10.48550/arxiv.1002.4736 · pith_short_12: HTL3JPXPXRY5 · pith_short_16: HTL3JPXPXRY5Y52A · pith_short_8: HTL3JPXP

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/HTL3JPXPXRY5Y52AUFQKELYRJ6 \
  | 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: 3cd7b4beefbc71dc7740a160a22f114fb4cd724506fa670a06c9cbf2f12123bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0290a48ef7b72d5ebb38c4b4c40b8a9a7d49f38ecf1476a93b5997974b14a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-02-25T10:17:30Z",
    "title_canon_sha256": "ed882d9107ff7bd87a4e6c2731ddca010a6e661665ac817a0c98400846f2feb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4736",
    "kind": "arxiv",
    "version": 2
  }
}