Pith Number

pith:54HIVFTJ

pith:2025:54HIVFTJCMXGXVLQ2NHAHJUAJ5

not attested not anchored not stored refs pending

Partializations of Markov categories

Areeb Shah Mohammed

arxiv:2509.05094 v1 · 2025-09-05 · math.CT · cs.LO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54HIVFTJCMXGXVLQ2NHAHJUAJ5}

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	2026-07-05T12:05:36.052976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef0e8a9669132e6bd570d34e03a6804f6a308d7e60ec492141045654d76ac30c

Aliases

arxiv: 2509.05094 · arxiv_version: 2509.05094v1 · doi: 10.48550/arxiv.2509.05094 · pith_short_12: 54HIVFTJCMXG · pith_short_16: 54HIVFTJCMXGXVLQ · pith_short_8: 54HIVFTJ

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/54HIVFTJCMXGXVLQ2NHAHJUAJ5 \
  | 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: ef0e8a9669132e6bd570d34e03a6804f6a308d7e60ec492141045654d76ac30c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d48e83a7ff7ec2eaf59fa7f092cdd5ba81fa5bdf5cd5b3d0f3583a5c406719b",
    "cross_cats_sorted": [
      "cs.LO",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-09-05T13:31:09Z",
    "title_canon_sha256": "b1b9a1c759b86b616b699283dae07f5216ae92b8212d4812f2d7bce347797475"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05094",
    "kind": "arxiv",
    "version": 1
  }
}