Pith Number

pith:CGDLT3ZI

pith:2009:CGDLT3ZIDAEWFEBARJ5DDJA73O

not attested not anchored not stored refs pending

On the spinfoam expansion in cosmology

Carlo Rovelli, Francesca Vidotto

arxiv:0911.3097 v2 · 2009-11-16 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGDLT3ZIDAEWFEBARJ5DDJA73O}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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.

Receipt and verification

First computed	2026-05-18T04:10:57.302644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1186b9ef2818096290208a7a31a41fdb9fb8a83b6e330686639169cfbf7c27ca

Aliases

arxiv: 0911.3097 · arxiv_version: 0911.3097v2 · doi: 10.48550/arxiv.0911.3097 · pith_short_12: CGDLT3ZIDAEW · pith_short_16: CGDLT3ZIDAEWFEBA · pith_short_8: CGDLT3ZI

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/CGDLT3ZIDAEWFEBARJ5DDJA73O \
  | 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: 1186b9ef2818096290208a7a31a41fdb9fb8a83b6e330686639169cfbf7c27ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89b4e515a0ac46931b97577a6a200c80b7dbfcecb3f4c3d0f92130aea4288657",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-11-16T17:48:39Z",
    "title_canon_sha256": "d857ce8dabd85d728b7bcdc3c6e0b189dc43314fb63049d64dfbc3ceed0034ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3097",
    "kind": "arxiv",
    "version": 2
  }
}