Pith Number

pith:VHM6I6QM

pith:2012:VHM6I6QMEYFD4PT7YF3VG7H4E4

not attested not anchored not stored refs pending

Monodromy of the Gauss-Manin connection for deformation by group cocycles

Makoto Yamashita

arxiv:1207.6687 v2 · 2012-07-28 · math.KT · math.OA · 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{VHM6I6QMEYFD4PT7YF3VG7H4E4}

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	2026-05-18T00:49:37.078375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d9e47a0c260a3e3e7fc177537cfc273035ccf269304b8e32e9097f95c966ea

Aliases

arxiv: 1207.6687 · arxiv_version: 1207.6687v2 · doi: 10.48550/arxiv.1207.6687 · pith_short_12: VHM6I6QMEYFD · pith_short_16: VHM6I6QMEYFD4PT7 · pith_short_8: VHM6I6QM

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/VHM6I6QMEYFD4PT7YF3VG7H4E4 \
  | 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: a9d9e47a0c260a3e3e7fc177537cfc273035ccf269304b8e32e9097f95c966ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "987fc707a019e0cc5f69c0a8a3c6852725d4ea962bc86b7811ad6e1694409f8b",
    "cross_cats_sorted": [
      "math.OA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-07-28T07:22:48Z",
    "title_canon_sha256": "2b9cc3ad5ffccdb341cf461146b761525494d327c6b647d1540ad7261ec53483"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6687",
    "kind": "arxiv",
    "version": 2
  }
}