Pith Number

pith:YCSFUCY7

pith:1999:YCSFUCY75J577ANHFUOGJYXQTX

not attested not anchored not stored refs pending

Loop Quantum Gravity and the Meaning of Diffeomorphism Invariance

Carlo Rovelli, Marcus Gaul

arxiv:gr-qc/9910079 v2 · 1999-10-23 · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCSFUCY75J577ANHFUOGJYXQTX}

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

A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors

Receipt and verification

First computed	2026-07-04T14:26:24.618265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a45a0b1fea7bff81a72d1c64e2f09def440cca33f0ae84862dce7b44a1a95a

Aliases

arxiv: gr-qc/9910079 · arxiv_version: gr-qc/9910079v2 · doi: 10.48550/arxiv.gr-qc/9910079 · pith_short_12: YCSFUCY75J57 · pith_short_16: YCSFUCY75J577ANH · pith_short_8: YCSFUCY7

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/YCSFUCY75J577ANHFUOGJYXQTX \
  | 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: c0a45a0b1fea7bff81a72d1c64e2f09def440cca33f0ae84862dce7b44a1a95a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ff9700e3066d3fc730fb7f075f450979e05e305b8d039f918cc0a6934559fd7",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-10-23T02:18:10Z",
    "title_canon_sha256": "b3e9eb6b07408ec5ce103e60a65cf00143bf39171361c6ae6af35aa195e0f4d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9910079",
    "kind": "arxiv",
    "version": 2
  }
}