Pith Number

pith:DJAEQ6AO

pith:2006:DJAEQ6AOISYABJOGI7PIG3DBUS

not attested not anchored not stored refs pending

A Posteriori Regularity of the Three-dimensional Navier-Stokes Equations from Numerical Computations

Edriss S. Titi, James C. Robinson, Peter Constantin, Sergei I. Chernyshenko

arxiv:math/0607181 v2 · 2006-07-07 · math.NA · cs.NA · 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{DJAEQ6AOISYABJOGI7PIG3DBUS}

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	2026-06-03T22:06:20.029771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a4048780e44b000a5c647de836c61a487ea368dc70547a7c4eee9746b356782

Aliases

arxiv: math/0607181 · arxiv_version: math/0607181v2 · doi: 10.48550/arxiv.math/0607181 · pith_short_12: DJAEQ6AOISYA · pith_short_16: DJAEQ6AOISYABJOG · pith_short_8: DJAEQ6AO

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/DJAEQ6AOISYABJOGI7PIG3DBUS \
  | 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: 1a4048780e44b000a5c647de836c61a487ea368dc70547a7c4eee9746b356782

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa2a436ce8f552170357ff7242bbcd554e33180095e2890be3865f8996ecb207",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2006-07-07T07:02:19Z",
    "title_canon_sha256": "579907244a5d8969f131d73f08dc37eec6666a27adcdca4fb7b5b42678b7b5df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607181",
    "kind": "arxiv",
    "version": 2
  }
}