Pith Number

pith:QI45K6RT

pith:2007:QI45K6RTPQKPU4HFVKYJNMLMDZ

not attested not anchored not stored refs pending

Quantum Gravity Boundary Terms from Spectral Action of Noncommutative Space

Alain Connes, Ali H. Chamseddine

arxiv:0705.1786 v2 · 2007-05-12 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QI45K6RTPQKPU4HFVKYJNMLMDZ}

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.

Cited by

1 paper in Pith

Spectral Noncommutative Geometry, Standard Model and all that

Receipt and verification

First computed	2026-07-04T15:24:12.865459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8239d57a337c14fa70e5aab096b16c1e54c0e20ce5662eea035b05c90f6dfb6f

Aliases

arxiv: 0705.1786 · arxiv_version: 0705.1786v2 · doi: 10.48550/arxiv.0705.1786 · pith_short_12: QI45K6RTPQKP · pith_short_16: QI45K6RTPQKPU4HF · pith_short_8: QI45K6RT

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/QI45K6RTPQKPU4HFVKYJNMLMDZ \
  | 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: 8239d57a337c14fa70e5aab096b16c1e54c0e20ce5662eea035b05c90f6dfb6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fc333d2668035fdf8b02fdd7dbad0a3e18c18671842467e5655def816028a14",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-05-12T17:58:35Z",
    "title_canon_sha256": "91f55241f9c3761ce3df5eb0960bbfeabf65223cfa46b57b8784f71cc3e6b38e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1786",
    "kind": "arxiv",
    "version": 2
  }
}