Pith Number

pith:MZLZR6MW

pith:2012:MZLZR6MW2GERTCIROG3Q4SMB3T

not attested not anchored not stored refs pending

On third homologies of groups and of quandles via the Dijkgraaf-Witten invariant and Inoue-Kabaya map

Takefumi Nosaka

arxiv:1210.6540 v1 · 2012-10-24 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZLZR6MW2GERTCIROG3Q4SMB3T}

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	2026-05-18T03:42:24.528533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

665798f996d18919891171b70e4981dce61b34dce51fb2be95def2d9fe098f37

Aliases

arxiv: 1210.6540 · arxiv_version: 1210.6540v1 · doi: 10.48550/arxiv.1210.6540 · pith_short_12: MZLZR6MW2GER · pith_short_16: MZLZR6MW2GERTCIR · pith_short_8: MZLZR6MW

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/MZLZR6MW2GERTCIROG3Q4SMB3T \
  | 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: 665798f996d18919891171b70e4981dce61b34dce51fb2be95def2d9fe098f37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aca2a72d66cdd5455eabf640d31147f6a9502a5254231515ffc7ff9f61028e68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-24T14:19:41Z",
    "title_canon_sha256": "6f6a607ba9d3b633c32fc10c7a059d9394dba4c1d0a60096f0a9f86b28a0fd3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6540",
    "kind": "arxiv",
    "version": 1
  }
}