Pith Number

pith:OS7XX2NE

pith:2024:OS7XX2NEINZ4IPCRBDSBGPWZRY

not attested not anchored not stored refs pending

Hom $\omega$-categories of a computad are free

Ioannis Markakis, Thibaut Benjamin

arxiv:2402.01611 v3 · 2024-02-02 · math.CT · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OS7XX2NEINZ4IPCRBDSBGPWZRY}

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.

Cited by

1 paper in Pith

Naturality for higher-dimensional path types

Receipt and verification

First computed	2026-07-05T09:34:55.536856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74bf7be9a44373c43c5108e4133ed98e0abc316cee00b92a0f00b92b85c39e8a

Aliases

arxiv: 2402.01611 · arxiv_version: 2402.01611v3 · doi: 10.48550/arxiv.2402.01611 · pith_short_12: OS7XX2NEINZ4 · pith_short_16: OS7XX2NEINZ4IPCR · pith_short_8: OS7XX2NE

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/OS7XX2NEINZ4IPCRBDSBGPWZRY \
  | 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: 74bf7be9a44373c43c5108e4133ed98e0abc316cee00b92a0f00b92b85c39e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04283fe5f37aa8b1b2c8b43fded0afe88cb5c903cce96bc5c2600bd02b19cda2",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2024-02-02T18:19:30Z",
    "title_canon_sha256": "4d3a3814888ebbe3abed78502249c19d9c48a81edf5a7205021e3210d57af027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.01611",
    "kind": "arxiv",
    "version": 3
  }
}