Pith Number

pith:ZZDXIFYC

pith:2026:ZZDXIFYCK334WXZCVRDBWOFC7S

not attested not anchored not stored refs pending

Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups II

Christoph Schweigert, Simon Lentner, Svea Nora Mierach, Yorck Sommerhaeuser

arxiv:2608.11193 v1 · 2026-08-11 · math.QA · math-ph · math.GT · math.MP · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZDXIFYCK334WXZCVRDBWOFC7S}

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	2026-08-12T01:24:47.239332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce4774170256f7cb5f22ac461b38a2fcbadd794eaa6461fff41b15c43f144a2c

Aliases

arxiv: 2608.11193 · arxiv_version: 2608.11193v1 · doi: 10.48550/arxiv.2608.11193 · pith_short_12: ZZDXIFYCK334 · pith_short_16: ZZDXIFYCK334WXZC · pith_short_8: ZZDXIFYC

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/ZZDXIFYCK334WXZCVRDBWOFC7S \
  | 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: ce4774170256f7cb5f22ac461b38a2fcbadd794eaa6461fff41b15c43f144a2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af72bf7f4d7d9df24459301d000c3af4f351c9b0726f6281aebd168b691f6019",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP",
      "math.RA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-08-11T17:51:07Z",
    "title_canon_sha256": "57e82db6023ceff140f3ac15c34f7f20e57b9e4aafddb423c4097f82aa499e91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11193",
    "kind": "arxiv",
    "version": 1
  }
}