Pith Number

pith:W25AU2W5

pith:2013:W25AU2W5LUTECE3JZ7RA4GLWJI

not attested not anchored not stored refs pending

Lefschetz for local Picard groups

Aise Johan de Jong, Bhargav Bhatt

arxiv:1302.3189 v1 · 2013-02-13 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W25AU2W5LUTECE3JZ7RA4GLWJI}

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	2026-05-18T03:33:48.448488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ba0a6add5d26411369cfe20e19764a3bad50786e3eb383d9ed29bbe94a0674

Aliases

arxiv: 1302.3189 · arxiv_version: 1302.3189v1 · doi: 10.48550/arxiv.1302.3189 · pith_short_12: W25AU2W5LUTE · pith_short_16: W25AU2W5LUTECE3J · pith_short_8: W25AU2W5

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/W25AU2W5LUTECE3JZ7RA4GLWJI \
  | 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: b6ba0a6add5d26411369cfe20e19764a3bad50786e3eb383d9ed29bbe94a0674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f91535ad4aa0ef42d22c5be5154f0a6f120db1a3bb266fbda61753acddac6d4",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-13T19:01:10Z",
    "title_canon_sha256": "530788fc6f656b306e4761a8dc27362a10d0f327cf79cc74babe8eaa332cef04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3189",
    "kind": "arxiv",
    "version": 1
  }
}