Pith Number

pith:M2MDAQ6P

pith:2002:M2MDAQ6PKDSOX7JOKTNNFMMDXK

not attested not anchored not stored refs pending

Explicit stable models of elliptic surfaces with sections

Gabriele La Nave

arxiv:math/0205035 v1 · 2002-05-03 · 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{M2MDAQ6PKDSOX7JOKTNNFMMDXK}

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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.

Cited by

1 paper in Pith

Moduli of surfaces fibered in (log) Calabi-Yau pairs II: elliptic surfaces

Receipt and verification

First computed	2026-05-18T01:05:29.592036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66983043cf50e4ebfd2e54dad2b183baa64394435c635736fbba962393094562

Aliases

arxiv: math/0205035 · arxiv_version: math/0205035v1 · doi: 10.48550/arxiv.math/0205035 · pith_short_12: M2MDAQ6PKDSO · pith_short_16: M2MDAQ6PKDSOX7JO · pith_short_8: M2MDAQ6P

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/M2MDAQ6PKDSOX7JOKTNNFMMDXK \
  | 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: 66983043cf50e4ebfd2e54dad2b183baa64394435c635736fbba962393094562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7a1c488facda86b1b4cda78ba5854133cd8b467bf81b88b5dc53cae41ea6b9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-05-03T22:18:37Z",
    "title_canon_sha256": "3f83ec37ace56721d75e229a3a9df0a98191b6bf02792b9f87dce5000443c82b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0205035",
    "kind": "arxiv",
    "version": 1
  }
}