Pith Number

pith:MF5YYGRC

pith:2009:MF5YYGRC2FJYJAFBA2URUTSGQI

not attested not anchored not stored refs pending

Integral Models of Extremal Rational Elliptic Surfaces

Jeremy R. Ricks, Tyler J. Jarvis, William E. Lang

arxiv:0908.1831 v2 · 2009-08-13 · 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{MF5YYGRC2FJYJAFBA2URUTSGQI}

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	2026-05-18T04:19:54.877264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

617b8c1a22d1538480a106a91a4e468236de4c9a79c24389834ebb5e37cdd271

Aliases

arxiv: 0908.1831 · arxiv_version: 0908.1831v2 · doi: 10.48550/arxiv.0908.1831 · pith_short_12: MF5YYGRC2FJY · pith_short_16: MF5YYGRC2FJYJAFB · pith_short_8: MF5YYGRC

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/MF5YYGRC2FJYJAFBA2URUTSGQI \
  | 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: 617b8c1a22d1538480a106a91a4e468236de4c9a79c24389834ebb5e37cdd271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07527af4692d021cf3d617d55ed642612747d90a9a3584547c0b06fff6fba8cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-08-13T03:55:42Z",
    "title_canon_sha256": "592de8a43539fb3daa0c56da8a1934f9908f462c2f8549bac389beff38716a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1831",
    "kind": "arxiv",
    "version": 2
  }
}