Pith Number

pith:5FCYGYGA

pith:2002:5FCYGYGA65XGJO2DOH3TEHKTV5

not attested not anchored not stored refs pending

Topos Theoretical Reference Frames on the Category of Quantum Observables

Elias Zafiris

arxiv:quant-ph/0202057 v1 · 2002-02-11 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FCYGYGA65XGJO2DOH3TEHKTV5}

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	2026-05-18T01:05:04.614540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9458360c0f76e64bb4371f7321d53af479e02dcf125fd940419f7bb77c62f18

Aliases

arxiv: quant-ph/0202057 · arxiv_version: quant-ph/0202057v1 · doi: 10.48550/arxiv.quant-ph/0202057 · pith_short_12: 5FCYGYGA65XG · pith_short_16: 5FCYGYGA65XGJO2D · pith_short_8: 5FCYGYGA

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/5FCYGYGA65XGJO2DOH3TEHKTV5 \
  | 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: e9458360c0f76e64bb4371f7321d53af479e02dcf125fd940419f7bb77c62f18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62085e8bbbfcb3a55a635af80e1dbc67f39b9d956088fd08afacb493e0911c89",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-02-11T12:22:47Z",
    "title_canon_sha256": "22898cc40454329e2e44a8dd0ce689a597f860b826279a398860c5a2b70786e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0202057",
    "kind": "arxiv",
    "version": 1
  }
}