Pith Number

pith:M772RCVY

pith:2021:M772RCVYTOFYJWM3MFQTFS7QOC

not attested not anchored not stored refs pending

Weak Fusion 2-Categories

Thibault D. D\'ecoppet

arxiv:2103.15150 v2 · 2021-03-28 · 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{M772RCVYTOFYJWM3MFQTFS7QOC}

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

2 papers in Pith

Higher Gauging and Non-invertible Condensation Defects

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Receipt and verification

First computed	2026-07-05T05:14:08.335119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ffa88ab89b8b84d99b616132cbf070bcb5b541e3d59c4967dff0c69dad8dc2

Aliases

arxiv: 2103.15150 · arxiv_version: 2103.15150v2 · doi: 10.48550/arxiv.2103.15150 · pith_short_12: M772RCVYTOFY · pith_short_16: M772RCVYTOFYJWM3 · pith_short_8: M772RCVY

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/M772RCVYTOFYJWM3MFQTFS7QOC \
  | 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: 67ffa88ab89b8b84d99b616132cbf070bcb5b541e3d59c4967dff0c69dad8dc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a163e9460e27a81db27e1897e9252b647007a3de85a3a8a8c35c86897fe2f61c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-03-28T15:16:17Z",
    "title_canon_sha256": "636be46a2125dc9197061f2d1e16aae2be4f9d04a159d23005e7c0c5846cb4c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15150",
    "kind": "arxiv",
    "version": 2
  }
}