Pith Number

pith:TF3TISE2

pith:2012:TF3TISE2NTMW3UWV33DKDKR5O2

not attested not anchored not stored refs pending

p-divisibility for coherent cohomology

Bhargav Bhatt

arxiv:1204.5831 v1 · 2012-04-26 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TF3TISE2NTMW3UWV33DKDKR5O2}

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	2026-05-18T03:56:59.344332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

997734489a6cd96dd2d5dec6a1aa3d7697dec3e57e838cd3f2b962d386a77fdc

Aliases

arxiv: 1204.5831 · arxiv_version: 1204.5831v1 · doi: 10.48550/arxiv.1204.5831 · pith_short_12: TF3TISE2NTMW · pith_short_16: TF3TISE2NTMW3UWV · pith_short_8: TF3TISE2

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/TF3TISE2NTMW3UWV33DKDKR5O2 \
  | 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: 997734489a6cd96dd2d5dec6a1aa3d7697dec3e57e838cd3f2b962d386a77fdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "298773fdba4dab248b85c5f4b12a7305df948ca48ea18c07d40205622028f132",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-26T05:30:30Z",
    "title_canon_sha256": "b0eff52342fb88a6ffb1ef0745104d9465319c29cb90a7a0e51969c4db35384e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5831",
    "kind": "arxiv",
    "version": 1
  }
}