Pith Number

pith:XPZ7MWEZ

pith:2013:XPZ7MWEZ2VJGFPFIGPRJKBBV55

not attested not anchored not stored refs pending

Factorization homology and calculus \`a la Kontsevich Soibelman

Geoffroy Horel

arxiv:1307.0322 v3 · 2013-07-01 · math.AT · math.KT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPZ7MWEZ2VJGFPFIGPRJKBBV55}

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

Prefactorization algebras of superselection sectors

Receipt and verification

First computed	2026-05-18T02:28:21.018756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf3f65899d55262bca833e2950435ef474210d402d29020e3794a0adb9197d3

Aliases

arxiv: 1307.0322 · arxiv_version: 1307.0322v3 · doi: 10.48550/arxiv.1307.0322 · pith_short_12: XPZ7MWEZ2VJG · pith_short_16: XPZ7MWEZ2VJGFPFI · pith_short_8: XPZ7MWEZ

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/XPZ7MWEZ2VJGFPFIGPRJKBBV55 \
  | 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: bbf3f65899d55262bca833e2950435ef474210d402d29020e3794a0adb9197d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e922980f589c68cbba1345c64127463e35ea8831d0211f6173c375c5531e6ef",
    "cross_cats_sorted": [
      "math.KT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-07-01T10:34:23Z",
    "title_canon_sha256": "565ebba4475ca9e0bb97d25001f9053597f23c386e2fb37f349c25cc5cb5b8c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0322",
    "kind": "arxiv",
    "version": 3
  }
}