Pith Number

pith:K73GV27X

pith:2014:K73GV27XLUK75XM67QALZTXCWU

not attested not anchored not stored refs pending

Foliated vector fields without periodic orbits

Alvaro del Pino, Daniel Peralta-Salas, Francisco Presas

arxiv:1412.0123 v2 · 2014-11-29 · math.DS · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K73GV27XLUK75XM67QALZTXCWU}

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	2026-05-18T02:25:19.733845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f66aebf75d15fedd9efc00bccee2b52ce541f519b9e9738d2923749ea12e43

Aliases

arxiv: 1412.0123 · arxiv_version: 1412.0123v2 · doi: 10.48550/arxiv.1412.0123 · pith_short_12: K73GV27XLUK7 · pith_short_16: K73GV27XLUK75XM6 · pith_short_8: K73GV27X

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/K73GV27XLUK75XM67QALZTXCWU \
  | 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: 57f66aebf75d15fedd9efc00bccee2b52ce541f519b9e9738d2923749ea12e43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4803bc5ec8898f20b719f7f2be430d3501371886b74be95bf38143d9283878cb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-11-29T16:41:09Z",
    "title_canon_sha256": "f4197aaa87ca52cc523965416f1236f6617f0f6b11523ddff400971e4d7c6a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0123",
    "kind": "arxiv",
    "version": 2
  }
}