Pith Number

pith:FNM6IIYM

pith:2010:FNM6IIYM4YLLL5KT5JK2T56GSL

not attested not anchored not stored refs pending

Operator Spin Foam Models

Benjamin Bahr, Frank Hellmann, Jerzy lewandowski, Marcin Kisielowski, Wojciech Kami\'nski

arxiv:1010.4787 v1 · 2010-10-22 · 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{FNM6IIYM4YLLL5KT5JK2T56GSL}

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	2026-05-18T04:24:45.175962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b59e4230ce616b5f553ea55a9f7c692ff5450bf34367e661342badf4ba4ce6a

Aliases

arxiv: 1010.4787 · arxiv_version: 1010.4787v1 · doi: 10.48550/arxiv.1010.4787 · pith_short_12: FNM6IIYM4YLL · pith_short_16: FNM6IIYM4YLLL5KT · pith_short_8: FNM6IIYM

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/FNM6IIYM4YLLL5KT5JK2T56GSL \
  | 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: 2b59e4230ce616b5f553ea55a9f7c692ff5450bf34367e661342badf4ba4ce6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd7d82ce46d7266871241026fe85d6f48a6a15e82f87ca49ba116f5c4b132165",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-22T19:43:16Z",
    "title_canon_sha256": "fddf8d67f7387654eacb9f7135b3dfa6c3d655c8de24ce02a70a2ac0ba31dc5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4787",
    "kind": "arxiv",
    "version": 1
  }
}