Pith Number

pith:GZQ5CFWR

pith:2011:GZQ5CFWRWYZ3RTAT5QBXBBSMM4

not attested not anchored not stored refs pending

A lower bound on blowup rates for the 3D incompressible Euler equation and a single exponential Beale-Kato-Majda type estimate

Nata\v{s}a Pavlovi\'c, Thomas Chen

arxiv:1107.0435 v3 · 2011-07-03 · 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{GZQ5CFWRWYZ3RTAT5QBXBBSMM4}

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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	2026-05-18T00:37:37.974097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3661d116d1b633b8cc13ec0370864c670f0ed270725d55fa31aaf698246189df

Aliases

arxiv: 1107.0435 · arxiv_version: 1107.0435v3 · doi: 10.48550/arxiv.1107.0435 · pith_short_12: GZQ5CFWRWYZ3 · pith_short_16: GZQ5CFWRWYZ3RTAT · pith_short_8: GZQ5CFWR

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/GZQ5CFWRWYZ3RTAT5QBXBBSMM4 \
  | 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: 3661d116d1b633b8cc13ec0370864c670f0ed270725d55fa31aaf698246189df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a4500bee1e9bab971d10ea23aacd7a128c01e34eee6825c320f83111a17f182",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-03T08:02:01Z",
    "title_canon_sha256": "8a89cac137d47a5062903466c43e91e377ebe9c40c845e8deb5502017307e128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0435",
    "kind": "arxiv",
    "version": 3
  }
}