Pith Number

pith:F2AE4S2E

pith:2000:F2AE4S2EQSOEVMMVWTY26HBWXP

not attested not anchored not stored refs pending

Spin foam model for Lorentzian General Relativity

Alejandro Perez, Carlo Rovelli

arxiv:gr-qc/0009021 v1 · 2000-09-07 · 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{F2AE4S2EQSOEVMMVWTY26HBWXP}

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	2026-07-04T17:18:40.121629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e804e4b44849c4ab195b4f1af1c36bbc2a63119e3ac34e6641067ad99b53075

Aliases

arxiv: gr-qc/0009021 · arxiv_version: gr-qc/0009021v1 · doi: 10.48550/arxiv.gr-qc/0009021 · pith_short_12: F2AE4S2EQSOE · pith_short_16: F2AE4S2EQSOEVMMV · pith_short_8: F2AE4S2E

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/F2AE4S2EQSOEVMMVWTY26HBWXP \
  | 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: 2e804e4b44849c4ab195b4f1af1c36bbc2a63119e3ac34e6641067ad99b53075

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "480ed75aa85c06f041aec6d164aa12c758609a604e76d37152c2afd09964d33c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-09-07T12:14:38Z",
    "title_canon_sha256": "0bc8df80073e70616e1d3e784eb5c692d61dcc6a184e7ecfde90ec139bfefb07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0009021",
    "kind": "arxiv",
    "version": 1
  }
}