Pith Number

pith:HOIOF6CE

pith:2012:HOIOF6CEOOVT33C3RHP7XPVQB3

not attested not anchored not stored refs pending

Global Mild Solutions of the Navier-Stokes Equations

Fang-Hua Lin, Zhen Lei

arxiv:1203.2699 v3 · 2012-03-13 · 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{HOIOF6CEOOVT33C3RHP7XPVQB3}

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	2026-05-18T04:00:00.634637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b90e2f84473ab3dec5b89dffbbeb00ee280458b367a51a96e2b53252d5ff52f

Aliases

arxiv: 1203.2699 · arxiv_version: 1203.2699v3 · doi: 10.48550/arxiv.1203.2699 · pith_short_12: HOIOF6CEOOVT · pith_short_16: HOIOF6CEOOVT33C3 · pith_short_8: HOIOF6CE

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/HOIOF6CEOOVT33C3RHP7XPVQB3 \
  | 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: 3b90e2f84473ab3dec5b89dffbbeb00ee280458b367a51a96e2b53252d5ff52f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f35a0bcb9c4aa23b5247e732b8c0716873ec6124e03dd02d7b8d47595fd80984",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-13T02:29:56Z",
    "title_canon_sha256": "6f6e567a56ac5dcc7498ea5d082f5c14dd78241fc82c224162f00cb914b762a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2699",
    "kind": "arxiv",
    "version": 3
  }
}