Pith Number

pith:Z7WNOJ3Q

pith:2013:Z7WNOJ3QICFZTOLOXD5ARXVP2M

not attested not anchored not stored refs pending

A vertical Liouville subfoliation on the cotangent bundle of a Cartan space and some related structures

Adelina Manea, Cristian Ida

arxiv:1301.5316 v2 · 2013-01-22 · 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{Z7WNOJ3QICFZTOLOXD5ARXVP2M}

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	2026-05-18T03:01:33.462168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfecd72770408b99b96eb8fa08deafd336ec5ad5c393061da1e5f765867d01ea

Aliases

arxiv: 1301.5316 · arxiv_version: 1301.5316v2 · doi: 10.48550/arxiv.1301.5316 · pith_short_12: Z7WNOJ3QICFZ · pith_short_16: Z7WNOJ3QICFZTOLO · pith_short_8: Z7WNOJ3Q

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/Z7WNOJ3QICFZTOLOXD5ARXVP2M \
  | 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: cfecd72770408b99b96eb8fa08deafd336ec5ad5c393061da1e5f765867d01ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "311d0d2f069bbe1b5ecd5cd36b70fe651d4aca4cb5b05d7aba019b4e899797bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-01-22T19:14:19Z",
    "title_canon_sha256": "84244a8aea3de90fc2f8ba8420c8f73db36badc75aeb4a68d365b1600240a865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5316",
    "kind": "arxiv",
    "version": 2
  }
}