Pith Number

pith:ACK6GHRI

pith:2011:ACK6GHRIXIMRM5XEUGP5UCZMER

not attested not anchored not stored refs pending

Universal curvature identities II

JeongHyeong Park, Kouei Sekigawa, Peter B. Gilkey

arxiv:1111.1380 v1 · 2011-11-06 · 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{ACK6GHRIXIMRM5XEUGP5UCZMER}

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	2026-05-18T01:59:44.790664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0095e31e28ba191676e4a19fda0b2c24646f8bad655f240d98a2ca37f9505e96

Aliases

arxiv: 1111.1380 · arxiv_version: 1111.1380v1 · doi: 10.48550/arxiv.1111.1380 · pith_short_12: ACK6GHRIXIMR · pith_short_16: ACK6GHRIXIMRM5XE · pith_short_8: ACK6GHRI

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/ACK6GHRIXIMRM5XEUGP5UCZMER \
  | 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: 0095e31e28ba191676e4a19fda0b2c24646f8bad655f240d98a2ca37f9505e96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f3493e4fa2d4dc47837a4eb7de5d4623d5228f33687116b217ab6d6fb05176",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-06T07:38:02Z",
    "title_canon_sha256": "544228cf99721c5afa7798b45a4a28f4625a2c12c0b53ee20942804146913aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1380",
    "kind": "arxiv",
    "version": 1
  }
}