Pith Number

pith:6ALUFT7A

pith:2009:6ALUFT7AW5LQ4GCNN6NQCKSM6Y

not attested not anchored not stored refs pending

Spin-Foams for All Loop Quantum Gravity

Jerzy lewandowski, Marcin Kisielowski, Wojciech Kami\'nski

arxiv:0909.0939 v5 · 2009-09-04 · gr-qc · 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{6ALUFT7AW5LQ4GCNN6NQCKSM6Y}

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.

Receipt and verification

First computed	2026-05-18T02:24:47.373830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f01742cfe0b7570e184d6f9b012a4cf600357fc995df411c2392b477b6da9d20

Aliases

arxiv: 0909.0939 · arxiv_version: 0909.0939v5 · doi: 10.48550/arxiv.0909.0939 · pith_short_12: 6ALUFT7AW5LQ · pith_short_16: 6ALUFT7AW5LQ4GCN · pith_short_8: 6ALUFT7A

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/6ALUFT7AW5LQ4GCNN6NQCKSM6Y \
  | 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: f01742cfe0b7570e184d6f9b012a4cf600357fc995df411c2392b477b6da9d20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e4a8c8f219d648450e3366e511a2d3b42392c50bfb9497261d874861ed5a308",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-09-04T18:44:44Z",
    "title_canon_sha256": "b51828e9621a5938802c1e183ba80ea8f27f603107b3e267d181d5efc8ebf8ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0939",
    "kind": "arxiv",
    "version": 5
  }
}