Pith Number

pith:3OBG2243

pith:2002:3OBG2243BJUAZIB36C4DTC5QHJ

not attested not anchored not stored refs pending

Discrete Quantum Mechanics I: Quantum Covariance

Charles Francis

arxiv:gr-qc/0205001 v1 · 2002-04-30 · 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{3OBG2243BJUAZIB36C4DTC5QHJ}

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	2026-07-04T14:25:34.204236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db826d6b9b0a680ca03bf0b8398bb03a579f3519017cc0eedc91d5ca3d7efba9

Aliases

arxiv: gr-qc/0205001 · arxiv_version: gr-qc/0205001v1 · doi: 10.48550/arxiv.gr-qc/0205001 · pith_short_12: 3OBG2243BJUA · pith_short_16: 3OBG2243BJUAZIB3 · pith_short_8: 3OBG2243

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/3OBG2243BJUAZIB36C4DTC5QHJ \
  | 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: db826d6b9b0a680ca03bf0b8398bb03a579f3519017cc0eedc91d5ca3d7efba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bc2ae46c0beae764c8f29ca0074c9fcf106ee12b05b2df3b64cd71f2981ae98",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2002-04-30T20:03:36Z",
    "title_canon_sha256": "aaac449707337f6909474aafd82efdac53d58c3dcf11926f1c63fc17153c677f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0205001",
    "kind": "arxiv",
    "version": 1
  }
}