Pith Number

pith:SVCFAENH

pith:2013:SVCFAENHJIVPK5TZ3CMHH73XDP

not attested not anchored not stored refs pending

Mathematics and Turbulence: where do we stand?

Claude Bardos, Edriss S. Titi

arxiv:1301.0273 v2 · 2013-01-02 · math.AP · math-ph · math.MP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SVCFAENHJIVPK5TZ3CMHH73XDP}

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	2026-05-18T01:52:22.182347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95445011a74a2af57679d89873ff771bf9d56b74c7b183e5f6a7460919d8ffa9

Aliases

arxiv: 1301.0273 · arxiv_version: 1301.0273v2 · doi: 10.48550/arxiv.1301.0273 · pith_short_12: SVCFAENHJIVP · pith_short_16: SVCFAENHJIVPK5TZ · pith_short_8: SVCFAENH

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/SVCFAENHJIVPK5TZ3CMHH73XDP \
  | 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: 95445011a74a2af57679d89873ff771bf9d56b74c7b183e5f6a7460919d8ffa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c72cbfe75ffcc0d6ef025dea29b2f16aa3bad1be4d6bb6d5ad3c1e1f2357ff34",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-02T17:25:16Z",
    "title_canon_sha256": "53c772cdf78c8542672363d9718fdfd14988b77d059e1f5e7751e5182b442cc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0273",
    "kind": "arxiv",
    "version": 2
  }
}