Pith Number

pith:HNITO6I5

pith:2025:HNITO6I5X6LUO5KZJAMGIDJSDW

not attested not anchored not stored refs pending

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

Amar Hadzihasanovic, Cl\'emence Chanavat

arxiv:2507.00146 v1 · 2025-06-30 · math.CT · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNITO6I5X6LUO5KZJAMGIDJSDW}

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	2026-07-05T11:29:38.076761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b5137791dbf974775594818640d321d882e1b6a13dea5c0774eb0ad97d97022

Aliases

arxiv: 2507.00146 · arxiv_version: 2507.00146v1 · doi: 10.48550/arxiv.2507.00146 · pith_short_12: HNITO6I5X6LU · pith_short_16: HNITO6I5X6LUO5KZ · pith_short_8: HNITO6I5

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/HNITO6I5X6LUO5KZJAMGIDJSDW \
  | 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: 3b5137791dbf974775594818640d321d882e1b6a13dea5c0774eb0ad97d97022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b5f845052dd5a4e58dadc4b8fc7cbeb80ad05c0407a6a536d68f770f7eabc15",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-06-30T18:01:57Z",
    "title_canon_sha256": "7f60484fa0b795fd75b4b921c1e8e3ab81e7af1282e9f669f6078d27958ee369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00146",
    "kind": "arxiv",
    "version": 1
  }
}