Pith Number

pith:WF4PCG7E

pith:2004:WF4PCG7EVVNGLYE4FMS36A27QQ

not attested not anchored not stored refs pending

Loop quantization from a lattice gauge theory perspective

Jos\'e A. Zapata

arxiv:gr-qc/0401109 v3 · 2004-01-27 · 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{WF4PCG7EVVNGLYE4FMS36A27QQ}

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	2026-05-18T01:39:22.673020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b178f11be4ad5a65e09c2b25bf035f840490ace7effbde8ca066957f627235d5

Aliases

arxiv: gr-qc/0401109 · arxiv_version: gr-qc/0401109v3 · doi: 10.48550/arxiv.gr-qc/0401109 · pith_short_12: WF4PCG7EVVNG · pith_short_16: WF4PCG7EVVNGLYE4 · pith_short_8: WF4PCG7E

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/WF4PCG7EVVNGLYE4FMS36A27QQ \
  | 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: b178f11be4ad5a65e09c2b25bf035f840490ace7effbde8ca066957f627235d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0e2278d108ce98d498360736c698b723e192b90d875d42e4005689e6a96fc86",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-01-27T20:24:14Z",
    "title_canon_sha256": "3284e0c554f74b546c3866a21f33adc28f682f90b8bdb5796e4be310e3520da1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0401109",
    "kind": "arxiv",
    "version": 3
  }
}