Pith Number

pith:3PBW3HTV

pith:2009:3PBW3HTVT4R67MCDL57QFQJXBG

not attested not anchored not stored refs pending

Rationally connected varieties over the maximally unramified extension of p-adic fields

Amanda Knecht, Bradley Duesler

arxiv:0906.2364 v2 · 2009-06-12 · 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{3PBW3HTVT4R67MCDL57QFQJXBG}

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	2026-05-18T01:17:26.407204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbc36d9e759f23efb0435f7f02c13709af80c0d694b88a20431a84bcdc97fc66

Aliases

arxiv: 0906.2364 · arxiv_version: 0906.2364v2 · doi: 10.48550/arxiv.0906.2364 · pith_short_12: 3PBW3HTVT4R6 · pith_short_16: 3PBW3HTVT4R67MCD · pith_short_8: 3PBW3HTV

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/3PBW3HTVT4R67MCDL57QFQJXBG \
  | 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: dbc36d9e759f23efb0435f7f02c13709af80c0d694b88a20431a84bcdc97fc66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19f283d0f83a5257b1d9298a515d6c79ed56f5a812ce3b174ae7e3619b8cb170",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-12T15:47:14Z",
    "title_canon_sha256": "e4897b1a13b537f150fdf5aa6ce467f8ecf437012ef5ff89de801acae09287b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2364",
    "kind": "arxiv",
    "version": 2
  }
}