Pith Number

pith:FP43V2UV

pith:2020:FP43V2UVOS662G455F2EW7JK3N

not attested not anchored not stored refs pending

Whole-grain Petri nets and processes

Joachim Kock

arxiv:2005.05108 v4 · 2020-05-11 · cs.LO · math.AT · math.CO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FP43V2UVOS662G455F2EW7JK3N}

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	2026-07-05T05:30:54.278917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf9baea9574bded1b9de9744b7d2adb61a33c705cc26171712df3da5d39b9ef

Aliases

arxiv: 2005.05108 · arxiv_version: 2005.05108v4 · doi: 10.48550/arxiv.2005.05108 · pith_short_12: FP43V2UVOS66 · pith_short_16: FP43V2UVOS662G45 · pith_short_8: FP43V2UV

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/FP43V2UVOS662G455F2EW7JK3N \
  | 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: 2bf9baea9574bded1b9de9744b7d2adb61a33c705cc26171712df3da5d39b9ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b659ddcfb77218ea8c61d563e1e7b613c46b663500d4ebd928c649c547c186c1",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2020-05-11T13:52:28Z",
    "title_canon_sha256": "af32b6dbe54efa0d36aedd98f88caa522b8c4e5a6e485991aff861c8f556908c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.05108",
    "kind": "arxiv",
    "version": 4
  }
}