Pith Number

pith:F3AHJJIZ

pith:2011:F3AHJJIZPJ6ZPKSW442UQ5ZYV3

not attested not anchored not stored refs pending

Finite time singularities for the free boundary incompressible Euler equations

Angel Castro, Charles Fefferman, Diego C\'ordoba, Francisco Gancedo, Javier G\'omez-Serrano

arxiv:1112.2170 v3 · 2011-12-09 · 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{F3AHJJIZPJ6ZPKSW442UQ5ZYV3}

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	2026-05-18T03:44:24.387547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ec074a5197a7d97aa56e735487738aee372630c1e6b9d05f2d7448807f78b35

Aliases

arxiv: 1112.2170 · arxiv_version: 1112.2170v3 · doi: 10.48550/arxiv.1112.2170 · pith_short_12: F3AHJJIZPJ6Z · pith_short_16: F3AHJJIZPJ6ZPKSW · pith_short_8: F3AHJJIZ

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/F3AHJJIZPJ6ZPKSW442UQ5ZYV3 \
  | 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: 2ec074a5197a7d97aa56e735487738aee372630c1e6b9d05f2d7448807f78b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22fba997a39fb76918454a9cc4de8a57cc78dea6158af47b22f023ab1786db57",
    "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": "2011-12-09T18:08:48Z",
    "title_canon_sha256": "6c78c22f59b2a8104ff6850b2a30affba4a38de7fd83f127a57008b6e82200ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2170",
    "kind": "arxiv",
    "version": 3
  }
}