Pith Number

pith:TYOWEWSP

pith:2012:TYOWEWSPT4L25GIG4K4OXTJW77

not attested not anchored not stored refs pending

Quotients of the Dwork Pencil

Alice Garbagnati, Gilberto Bini

arxiv:1207.7175 v1 · 2012-07-31 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYOWEWSPT4L25GIG4K4OXTJW77}

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	2026-05-18T03:49:46.561032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e1d625a4f9f17ae9906e2b8ebcd36ffeb28eb2b43a682d7e7640468ab393ca8

Aliases

arxiv: 1207.7175 · arxiv_version: 1207.7175v1 · doi: 10.48550/arxiv.1207.7175 · pith_short_12: TYOWEWSPT4L2 · pith_short_16: TYOWEWSPT4L25GIG · pith_short_8: TYOWEWSP

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/TYOWEWSPT4L25GIG4K4OXTJW77 \
  | 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: 9e1d625a4f9f17ae9906e2b8ebcd36ffeb28eb2b43a682d7e7640468ab393ca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30b5f5d1a98a9b1fe2c8cf6552cb4542558d09ed8a24f0cef1b49528c07de44a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-31T07:03:18Z",
    "title_canon_sha256": "add2c6c734e49de0fec62702bec44284c20073ab9de1aab47be1a8a6563faf02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7175",
    "kind": "arxiv",
    "version": 1
  }
}