Pith Number

pith:MARZYHIH

pith:2025:MARZYHIH67MNCTEEPSPRGE2BH7

not attested not anchored not stored refs pending

Gray products of diagrammatic $(\infty, n)$-categories

Cl\'emence Chanavat

arxiv:2505.01387 v1 · 2025-05-02 · math.AT · 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{MARZYHIH67MNCTEEPSPRGE2BH7}

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

Semi-strictification of $(\infty, n)$-categories

Receipt and verification

First computed	2026-07-05T10:57:50.104945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60239c1d07f7d8d14c847c9f1313413fc5558e5ad00ddbd95a43359dd21445bd

Aliases

arxiv: 2505.01387 · arxiv_version: 2505.01387v1 · doi: 10.48550/arxiv.2505.01387 · pith_short_12: MARZYHIH67MN · pith_short_16: MARZYHIH67MNCTEE · pith_short_8: MARZYHIH

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/MARZYHIH67MNCTEEPSPRGE2BH7 \
  | 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: 60239c1d07f7d8d14c847c9f1313413fc5558e5ad00ddbd95a43359dd21445bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5685400beeafefa9b65e817d8c656e7ca89ec5ce603e28406c32fae181c1a12",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-05-02T16:52:19Z",
    "title_canon_sha256": "c7e42ecd5419c96f8742c2c84f62515585432ceb4238698e2ee5aea80f313338"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.01387",
    "kind": "arxiv",
    "version": 1
  }
}