Pith Number

pith:QZZWTLFR

pith:2010:QZZWTLFRGQ3LIY5W6WT7JVK6OA

not attested not anchored not stored refs pending

Commuting Simplicity and Closure Constraints for 4D Spin Foam Models

Muxin Han, Thomas Thiemann

arxiv:1010.5444 v2 · 2010-10-26 · 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{QZZWTLFRGQ3LIY5W6WT7JVK6OA}

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	2026-05-18T03:08:25.400412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

867369acb13436b463b6f5a7f4d55e702a36e74f995ed4c581cac5a9db78dbf4

Aliases

arxiv: 1010.5444 · arxiv_version: 1010.5444v2 · doi: 10.48550/arxiv.1010.5444 · pith_short_12: QZZWTLFRGQ3L · pith_short_16: QZZWTLFRGQ3LIY5W · pith_short_8: QZZWTLFR

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/QZZWTLFRGQ3LIY5W6WT7JVK6OA \
  | 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: 867369acb13436b463b6f5a7f4d55e702a36e74f995ed4c581cac5a9db78dbf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a2d8606ce1e6d50ca1a5f112c594cda8b393dcd4057c7006b71221c66e817e9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-26T16:15:51Z",
    "title_canon_sha256": "02005c5cc74fcea316b50fa17983239d4fef0d864b1ad7384cddaa28e4f29aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5444",
    "kind": "arxiv",
    "version": 2
  }
}