Pith Number

pith:T7LBEAUM

pith:2011:T7LBEAUMNDXOJ6KQAR3CMUGMH6

not attested not anchored not stored refs pending

On the Expansions in Spin Foam Cosmology

Frank Hellmann

arxiv:1105.1334 v2 · 2011-05-06 · 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{T7LBEAUMNDXOJ6KQAR3CMUGMH6}

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	2026-05-18T04:03:32.399285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd612028c68eee4f95004762650cc3fa3f218f66f216ce756ac9ab30f358777

Aliases

arxiv: 1105.1334 · arxiv_version: 1105.1334v2 · doi: 10.48550/arxiv.1105.1334 · pith_short_12: T7LBEAUMNDXO · pith_short_16: T7LBEAUMNDXOJ6KQ · pith_short_8: T7LBEAUM

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/T7LBEAUMNDXOJ6KQAR3CMUGMH6 \
  | 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: 9fd612028c68eee4f95004762650cc3fa3f218f66f216ce756ac9ab30f358777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bab50d8654cc612260f5345f24c681a6c0d84c8d6d24e6c244a7e3168072f90",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-05-06T17:38:40Z",
    "title_canon_sha256": "b74f93cb03d90d2fde8f61911d2eef1da29257141ea6ca6a1bb0fe174faf4c88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1334",
    "kind": "arxiv",
    "version": 2
  }
}