Pith Number

pith:6EL2CDOY

pith:2011:6EL2CDOY6PWKKU4VSQ6B2QA5DO

not attested not anchored not stored refs pending

Localisation and compactness properties of the Navier-Stokes global regularity problem

Terence Tao

arxiv:1108.1165 v4 · 2011-08-04 · math.AP · math-ph · 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{6EL2CDOY6PWKKU4VSQ6B2QA5DO}

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	2026-05-18T03:54:37.613741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f117a10dd8f3eca55395943c1d401d1ba0638b2ac60d588e4a518f353f01fa5c

Aliases

arxiv: 1108.1165 · arxiv_version: 1108.1165v4 · doi: 10.48550/arxiv.1108.1165 · pith_short_12: 6EL2CDOY6PWK · pith_short_16: 6EL2CDOY6PWKKU4V · pith_short_8: 6EL2CDOY

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/6EL2CDOY6PWKKU4VSQ6B2QA5DO \
  | 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: f117a10dd8f3eca55395943c1d401d1ba0638b2ac60d588e4a518f353f01fa5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd10c83f962d1196cb73a0224e19e190b6db3b4ea355ff1326a7196289aab0f6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-04T18:38:26Z",
    "title_canon_sha256": "50ce49ded350b50a2b200e2f6a4dd177f17cf18d1e14fce5737beff260e42db4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1165",
    "kind": "arxiv",
    "version": 4
  }
}