Pith Number

pith:KDPP24B2

pith:2001:KDPP24B23H5C72KPOYVT4UCGCU

not attested not anchored not stored refs pending

Dynamical Noncommutative Spheres

Andrzej Sitarz

arxiv:math-ph/0112042 v1 · 2001-12-19 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KDPP24B23H5C72KPOYVT4UCGCU}

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	2026-07-04T16:28:15.142123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50defd703ad9fa2fe94f762b3e504615123ca47a001ebe9bbb6bf342d8bcf149

Aliases

arxiv: math-ph/0112042 · arxiv_version: math-ph/0112042v1 · doi: 10.48550/arxiv.math-ph/0112042 · pith_short_12: KDPP24B23H5C · pith_short_16: KDPP24B23H5C72KP · pith_short_8: KDPP24B2

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/KDPP24B23H5C72KPOYVT4UCGCU \
  | 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: 50defd703ad9fa2fe94f762b3e504615123ca47a001ebe9bbb6bf342d8bcf149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb9895f6250fc629c66c4c571de0a444edf893594b2457bf5f6bb30134945efd",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-12-19T15:02:05Z",
    "title_canon_sha256": "7aef955c8f8119730fc25ee0032ab59d327e3eda02087ed508ea1ef747b27e84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0112042",
    "kind": "arxiv",
    "version": 1
  }
}