Pith Number

pith:Y2S6MDAC

pith:2013:Y2S6MDACZI4VFUN3CJG26V76DW

not attested not anchored not stored refs pending

Galois functors and generalised Hopf modules

Bachuki Mesablishvili, Robert Wisbauer

arxiv:1302.1729 v1 · 2013-02-07 · math.CT · 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{Y2S6MDACZI4VFUN3CJG26V76DW}

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	2026-05-18T03:34:14.799732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6a5e60c02ca3952d1bb124daf57fe1d84e6c1a5fcfbac35d5f6f0bc8812832b

Aliases

arxiv: 1302.1729 · arxiv_version: 1302.1729v1 · doi: 10.48550/arxiv.1302.1729 · pith_short_12: Y2S6MDACZI4V · pith_short_16: Y2S6MDACZI4VFUN3 · pith_short_8: Y2S6MDAC

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/Y2S6MDACZI4VFUN3CJG26V76DW \
  | 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: c6a5e60c02ca3952d1bb124daf57fe1d84e6c1a5fcfbac35d5f6f0bc8812832b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "442e863cc81f8148389063a1b4f4e30536635ccc2aef12136164da03d4637c1e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-02-07T12:35:56Z",
    "title_canon_sha256": "26762fd927b98e035e464c98cec03f36de7bb3ec5803656a03c92293fca6f9b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1729",
    "kind": "arxiv",
    "version": 1
  }
}