Pith Number

pith:QGVBA2LA

pith:2000:QGVBA2LAEQLJSJHRPNHVOZHCHY

not attested not anchored not stored refs pending

3+1 spinfoam model of quantum gravity with spacelike and timelike components

Alejandro Perez, Carlo Rovelli

arxiv:gr-qc/0011037 v1 · 2000-11-10 · 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{QGVBA2LAEQLJSJHRPNHVOZHCHY}

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	2026-07-04T16:19:43.460173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81aa10696024169924f17b4f5764e23e30cb71268847ff69a0d5e5d7ee727683

Aliases

arxiv: gr-qc/0011037 · arxiv_version: gr-qc/0011037v1 · doi: 10.48550/arxiv.gr-qc/0011037 · pith_short_12: QGVBA2LAEQLJ · pith_short_16: QGVBA2LAEQLJSJHR · pith_short_8: QGVBA2LA

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/QGVBA2LAEQLJSJHRPNHVOZHCHY \
  | 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: 81aa10696024169924f17b4f5764e23e30cb71268847ff69a0d5e5d7ee727683

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f2beab4da4da1aadc0d4d366b2e1462f2f1c162317cec562219c5e673ff3546",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-11-10T17:19:06Z",
    "title_canon_sha256": "86a3434b641c21f60c92e4dc1f3e97454f2190fabc5f8ac461f41cc6b612fa3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0011037",
    "kind": "arxiv",
    "version": 1
  }
}