Pith Number

pith:Z76MKBGX

pith:2009:Z76MKBGX4YEXLXVENS5HQA7WB4

not attested not anchored not stored refs pending

Wilson loops, geometric operators and fermions in 3d group field theory

R.J. Dowdall

arxiv:0911.2391 v1 · 2009-11-12 · 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{Z76MKBGX4YEXLXVENS5HQA7WB4}

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	2026-05-18T04:21:53.142766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cffcc504d7e60975dea46cba7803f60f14c856c4311754bdcd1bd5a3d354dcdd

Aliases

arxiv: 0911.2391 · arxiv_version: 0911.2391v1 · doi: 10.48550/arxiv.0911.2391 · pith_short_12: Z76MKBGX4YEX · pith_short_16: Z76MKBGX4YEXLXVE · pith_short_8: Z76MKBGX

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/Z76MKBGX4YEXLXVENS5HQA7WB4 \
  | 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: cffcc504d7e60975dea46cba7803f60f14c856c4311754bdcd1bd5a3d354dcdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e85ca0dd4dd5a1eadd1f8ecce506ecefabfc5cf39cf80d2bf5ab8a0f69dbee9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-11-12T13:51:01Z",
    "title_canon_sha256": "1c2f09586675265577516499370f5aff75df9151a6516ad3cd23fb2b2a7277a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2391",
    "kind": "arxiv",
    "version": 1
  }
}