Pith Number

pith:PPXKXIYA

pith:2004:PPXKXIYALBAM2PHYHYQM2Z3Q4J

not attested not anchored not stored refs pending

Unified model of loop quantum gravity and matter

J. Pullin, R. Gambini, S. Jay Olson

arxiv:gr-qc/0409045 v1 · 2004-09-10 · 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{PPXKXIYALBAM2PHYHYQM2Z3Q4J}

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	2026-05-18T01:39:22.486262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7beeaba3005840cd3cf83e20cd6770e2778f23b156109369e13b40d280dfefb9

Aliases

arxiv: gr-qc/0409045 · arxiv_version: gr-qc/0409045v1 · doi: 10.48550/arxiv.gr-qc/0409045 · pith_short_12: PPXKXIYALBAM · pith_short_16: PPXKXIYALBAM2PHY · pith_short_8: PPXKXIYA

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/PPXKXIYALBAM2PHYHYQM2Z3Q4J \
  | 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: 7beeaba3005840cd3cf83e20cd6770e2778f23b156109369e13b40d280dfefb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24e7d845b7ba93369f13d8ce26fe2ab2cef3afd529c6a7c8c67ec5969fe2bd6f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2004-09-10T14:45:39Z",
    "title_canon_sha256": "79db5d5364b8c2a65b8d6d013b2c54e34b774378b7ba766b7c0246d70034d50f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0409045",
    "kind": "arxiv",
    "version": 1
  }
}