Pith Number

pith:ZXE6ZG7B

pith:2014:ZXE6ZG7B7WYIBDYVG5HTLBYEH7

not attested not anchored not stored refs pending

La th\'eorie de l'homotopie des 2-cat\'egories

Jonathan Chiche

arxiv:1411.6936 v1 · 2014-11-25 · 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{ZXE6ZG7B7WYIBDYVG5HTLBYEH7}

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

Graded Frobenius Algebras

Receipt and verification

First computed	2026-05-18T02:32:46.916398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc9ec9be1fdb0808f15374f3587043ff910766c474ead56bb60190ccc3ab5d9

Aliases

arxiv: 1411.6936 · arxiv_version: 1411.6936v1 · doi: 10.48550/arxiv.1411.6936 · pith_short_12: ZXE6ZG7B7WYI · pith_short_16: ZXE6ZG7B7WYIBDYV · pith_short_8: ZXE6ZG7B

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/ZXE6ZG7B7WYIBDYVG5HTLBYEH7 \
  | 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: cdc9ec9be1fdb0808f15374f3587043ff910766c474ead56bb60190ccc3ab5d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "584c972c238f10292de9b9141ebfac7e46cc1f148dfe83821e1b20a499027235",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-11-25T17:35:59Z",
    "title_canon_sha256": "948de86faef40f77dfd6667b1f9caf5bff166ac89739fb5e8ecb62f3f1e7003a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6936",
    "kind": "arxiv",
    "version": 1
  }
}