Pith Number

pith:I63MNTIQ

pith:2012:I63MNTIQLYVTA2YPAW43IIXVWO

not attested not anchored not stored refs pending

Lagrangian and geometric analysis of finite-time Euler singularities

Rainer Grauer, Tobias Grafke

arxiv:1212.0573 v1 · 2012-12-03 · 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{I63MNTIQLYVTA2YPAW43IIXVWO}

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	2026-05-18T03:39:15.746295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47b6c6cd105e2b306b0f05b9b422f5b387c591ca8c0cc41f60e3845f921d63f9

Aliases

arxiv: 1212.0573 · arxiv_version: 1212.0573v1 · doi: 10.48550/arxiv.1212.0573 · pith_short_12: I63MNTIQLYVT · pith_short_16: I63MNTIQLYVTA2YP · pith_short_8: I63MNTIQ

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/I63MNTIQLYVTA2YPAW43IIXVWO \
  | 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: 47b6c6cd105e2b306b0f05b9b422f5b387c591ca8c0cc41f60e3845f921d63f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81178b03072aa7d06fe763052e79c40d49b953cc0d6f79da6b6f19ce07c8aa5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2012-12-03T21:59:09Z",
    "title_canon_sha256": "0797bd21e3dc762b640f54a71e21bdd2fdce2bff330d4b1f37b867bcb00c0c1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0573",
    "kind": "arxiv",
    "version": 1
  }
}