Pith Number

pith:D7S6ZPYS

pith:2024:D7S6ZPYSKTBZAWHRM2OYNF35XB

not attested not anchored not stored refs pending

Kleene algebra with commutativity conditions is undecidable

Arthur Azevedo de Amorim, Cheng Zhang, Marco Gaboardi

arxiv:2411.15979 v1 · 2024-11-24 · math.LO · cs.CC · cs.CL · cs.LO · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7S6ZPYSKTBZAWHRM2OYNF35XB}

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	2026-07-05T09:52:18.410532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe5ecbf1254c39058f1669d86977db85cc568d2645bbca5a64dd9e6c1ad2d61

Aliases

arxiv: 2411.15979 · arxiv_version: 2411.15979v1 · doi: 10.48550/arxiv.2411.15979 · pith_short_12: D7S6ZPYSKTBZ · pith_short_16: D7S6ZPYSKTBZAWHR · pith_short_8: D7S6ZPYS

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/D7S6ZPYSKTBZAWHRM2OYNF35XB \
  | 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: 1fe5ecbf1254c39058f1669d86977db85cc568d2645bbca5a64dd9e6c1ad2d61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2cbc0b23e846148c5c3cb80b48dc877fc5f491d580f91e1ab2a78cf86123ab",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.CL",
      "cs.LO",
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-11-24T20:44:27Z",
    "title_canon_sha256": "b1bd94b4c5da35ad82692b33889b42630c21213477d13a7dd20aa8cd58f0fd56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15979",
    "kind": "arxiv",
    "version": 1
  }
}