Pith Number

pith:IGJSGGQY

pith:2011:IGJSGGQYI5FEBK6BN5J2XECWLT

not attested not anchored not stored refs pending

Spectral Action for Robertson-Walker metrics

Alain Connes, Ali H. Chamseddine

arxiv:1105.4637 v1 · 2011-05-23 · hep-th · gr-qc · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGJSGGQYI5FEBK6BN5J2XECWLT}

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	2026-05-18T03:40:14.548322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4193231a18474a40abc16f53ab90565ce47dce06961ae0b143e3aa2e928bc547

Aliases

arxiv: 1105.4637 · arxiv_version: 1105.4637v1 · doi: 10.48550/arxiv.1105.4637 · pith_short_12: IGJSGGQYI5FE · pith_short_16: IGJSGGQYI5FEBK6B · pith_short_8: IGJSGGQY

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/IGJSGGQYI5FEBK6BN5J2XECWLT \
  | 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: 4193231a18474a40abc16f53ab90565ce47dce06961ae0b143e3aa2e928bc547

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b2e6c60d2129fac19293af7ca13f53eccad44a7ea73cb8a7a3aa960b495f139",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-05-23T21:16:43Z",
    "title_canon_sha256": "0ca60ee5199d898c3b28a58afa621757f5bdec61841f08ab41111c279375bda5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4637",
    "kind": "arxiv",
    "version": 1
  }
}