Pith Number

pith:ZZDFKAYB

pith:2011:ZZDFKAYB3LP5NQ4G3TOMAZXAET

not attested not anchored not stored refs pending

Process Dimension of Classical and Non-Commutative Processes

Arleta Szko{\l}a, Nihat Ay, Wolfgang L\"ohr

arxiv:1108.3984 v1 · 2011-08-19 · math.DS · math-ph · math.MP · math.PR · 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{ZZDFKAYB3LP5NQ4G3TOMAZXAET}

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	2026-05-18T03:57:00.525365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce46550301dadfd6c386dcdcc066e024f77a6ef602e8802d9d865732f14c53c2

Aliases

arxiv: 1108.3984 · arxiv_version: 1108.3984v1 · doi: 10.48550/arxiv.1108.3984 · pith_short_12: ZZDFKAYB3LP5 · pith_short_16: ZZDFKAYB3LP5NQ4G · pith_short_8: ZZDFKAYB

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/ZZDFKAYB3LP5NQ4G3TOMAZXAET \
  | 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: ce46550301dadfd6c386dcdcc066e024f77a6ef602e8802d9d865732f14c53c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "135c4b5356f6058fe77af5ced195d60c4456f492343cb8211a75da61dd833447",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-08-19T15:43:29Z",
    "title_canon_sha256": "fac2854728d3d048acd95674d3134a44bae9d19415b39e88a052c6b0638133d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3984",
    "kind": "arxiv",
    "version": 1
  }
}