Pith Number

pith:O3VKAF6F

pith:1996:O3VKAF6FTLRCPBJR6GNQUEO2XB

not attested not anchored not stored refs pending

``Sum over Surfaces'' form of Loop Quantum Gravity

Carlo Rovelli, Michael P Reisenberger

arxiv:gr-qc/9612035 v3 · 1996-12-13 · gr-qc · hep-th · math.QA · q-alg

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3VKAF6FTLRCPBJR6GNQUEO2XB}

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

Toller matrices and the Feynman $i\varepsilon$ in spinfoams

Receipt and verification

First computed	2026-05-18T02:37:29.533436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76eaa017c59ae2278531f19b0a11dab875e76ef5aa34de9b996ce8a63587521b

Aliases

arxiv: gr-qc/9612035 · arxiv_version: gr-qc/9612035v3 · doi: 10.48550/arxiv.gr-qc/9612035 · pith_short_12: O3VKAF6FTLRC · pith_short_16: O3VKAF6FTLRCPBJR · pith_short_8: O3VKAF6F

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/O3VKAF6FTLRCPBJR6GNQUEO2XB \
  | 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: 76eaa017c59ae2278531f19b0a11dab875e76ef5aa34de9b996ce8a63587521b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cb597aa161aacf58a10de06b884d235a74fc6e46a765024d7d6157cb8ba9fd3",
    "cross_cats_sorted": [
      "hep-th",
      "math.QA",
      "q-alg"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1996-12-13T23:25:40Z",
    "title_canon_sha256": "e06d9464d7dda9b8e7e2dfbea4033907487609aa2b7c5b172dab7b2cf7d1f291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9612035",
    "kind": "arxiv",
    "version": 3
  }
}