Pith Number

pith:TIFH7TCE

pith:2012:TIFH7TCEDE53BMN6AUJVKVNUFE

not attested not anchored not stored refs pending

Ricci identities of the Liouville d-vector fields z^(1)alpha and z^(2)alpha

Alexandru Oana

arxiv:1207.6510 v1 · 2012-07-27 · 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{TIFH7TCEDE53BMN6AUJVKVNUFE}

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	2026-05-18T03:49:59.140021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a0a7fcc44193bb0b1be05135555b4292662944eb4cd5d04be3245a734d2b494

Aliases

arxiv: 1207.6510 · arxiv_version: 1207.6510v1 · doi: 10.48550/arxiv.1207.6510 · pith_short_12: TIFH7TCEDE53 · pith_short_16: TIFH7TCEDE53BMN6 · pith_short_8: TIFH7TCE

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/TIFH7TCEDE53BMN6AUJVKVNUFE \
  | 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: 9a0a7fcc44193bb0b1be05135555b4292662944eb4cd5d04be3245a734d2b494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0a14de1df285ba554f83936acf39d92fb41a145c7e4e7780df651c44a680f3f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-27T10:38:35Z",
    "title_canon_sha256": "5b695a39d58b14ad25baa2f6e1f480c06c6d7eb9ea0fab25fd1fea58d4cb08e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6510",
    "kind": "arxiv",
    "version": 1
  }
}