Pith Number

pith:V3DZ3BLC

pith:2012:V3DZ3BLCBNBVVBHFB5FDM4EAEH

not attested not anchored not stored refs pending

Divergences and Orientation in Spinfoams

Aldo Riello, Carlo Rovelli, Christian R\"oken, Marios Christodoulou, Miklos L{\aa}ngvik

arxiv:1207.5156 v1 · 2012-07-21 · 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{V3DZ3BLCBNBVVBHFB5FDM4EAEH}

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

Causal structure in spin-foams

Receipt and verification

First computed	2026-05-18T03:34:25.362274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aec79d85620b435a84e50f4a36708021e60615e7062d526e92038de413fcc77e

Aliases

arxiv: 1207.5156 · arxiv_version: 1207.5156v1 · doi: 10.48550/arxiv.1207.5156 · pith_short_12: V3DZ3BLCBNBV · pith_short_16: V3DZ3BLCBNBVVBHF · pith_short_8: V3DZ3BLC

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/V3DZ3BLCBNBVVBHFB5FDM4EAEH \
  | 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: aec79d85620b435a84e50f4a36708021e60615e7062d526e92038de413fcc77e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb2db4deb732f45157b28f46d4c5ccba57766ad2c676c00dca4268cd2a52d9d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-21T15:22:35Z",
    "title_canon_sha256": "ec80ed3f7a69c9fbb4215fa39e9378c1fece78e13f59a845e3a8632440746fbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5156",
    "kind": "arxiv",
    "version": 1
  }
}