Pith Number

pith:ZKDO3YJU

pith:2021:ZKDO3YJUF4XIDGOMYR6P4HF2EP

not attested not anchored not stored refs pending

Compact Semisimple 2-Categories

Thibault D. D\'ecoppet

arxiv:2111.09080 v2 · 2021-11-17 · math.QA · 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{ZKDO3YJUF4XIDGOMYR6P4HF2EP}

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

On the Physics of Higher Condensation Defects

Receipt and verification

First computed	2026-07-05T07:05:03.993320Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca86ede1342f2e8199ccc47cfe1cba23e3855c7bf8e3bf5c613d1cdbb66d7eca

Aliases

arxiv: 2111.09080 · arxiv_version: 2111.09080v2 · doi: 10.48550/arxiv.2111.09080 · pith_short_12: ZKDO3YJUF4XI · pith_short_16: ZKDO3YJUF4XIDGOM · pith_short_8: ZKDO3YJU

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/ZKDO3YJUF4XIDGOMYR6P4HF2EP \
  | 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: ca86ede1342f2e8199ccc47cfe1cba23e3855c7bf8e3bf5c613d1cdbb66d7eca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e79d5c11d2453d363345841fade408c4b7d5ef45276cd297f98a9f1813d5f60",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-11-17T12:52:00Z",
    "title_canon_sha256": "a1d0aa6c0ba9e005836595c73825f9159482e59f7fa620edcb6c13e14a8fda56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09080",
    "kind": "arxiv",
    "version": 2
  }
}