Pith Number

pith:JOFY4EQD

pith:2012:JOFY4EQDVNYDVNZ34R4J5TLLAB

not attested not anchored not stored refs pending

Universal curvature identities III

J.H. Park, K. Sekigawa, P. Gilkey

arxiv:1209.5481 v1 · 2012-09-25 · 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{JOFY4EQDVNYDVNZ34R4J5TLLAB}

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	2026-05-18T03:44:48.393991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b8b8e1203ab703ab73be4789ecd6b00722f56e819c7c3debf65169c8c653a93

Aliases

arxiv: 1209.5481 · arxiv_version: 1209.5481v1 · doi: 10.48550/arxiv.1209.5481 · pith_short_12: JOFY4EQDVNYD · pith_short_16: JOFY4EQDVNYDVNZ3 · pith_short_8: JOFY4EQD

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/JOFY4EQDVNYDVNZ34R4J5TLLAB \
  | 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: 4b8b8e1203ab703ab73be4789ecd6b00722f56e819c7c3debf65169c8c653a93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9893244bc97e091a215cd7c77b02c28712638e8509820bd55fe82cb860a56d63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-25T03:03:46Z",
    "title_canon_sha256": "ee676187e8e2e9a0aeff8b9eae90abd8817fe8c443c4e52b9459e5f89a424676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5481",
    "kind": "arxiv",
    "version": 1
  }
}