Pith Number

pith:F3SBAQDD

pith:2016:F3SBAQDDQ4WQYTRBCSPPM7GAHM

not attested not anchored not stored refs pending

Geometry of bisections of elliptic surfaces and Zariski $N$-plets II

Hiro-o Tokunaga, Shinzo Bannai

arxiv:1611.01864 v2 · 2016-11-07 · 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{F3SBAQDDQ4WQYTRBCSPPM7GAHM}

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	2026-05-18T00:56:11.812451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ee4104063872d0c4e21149ef67cc03b1312434de6499b4e269e23b104c07bbb

Aliases

arxiv: 1611.01864 · arxiv_version: 1611.01864v2 · doi: 10.48550/arxiv.1611.01864 · pith_short_12: F3SBAQDDQ4WQ · pith_short_16: F3SBAQDDQ4WQYTRB · pith_short_8: F3SBAQDD

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/F3SBAQDDQ4WQYTRBCSPPM7GAHM \
  | 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: 2ee4104063872d0c4e21149ef67cc03b1312434de6499b4e269e23b104c07bbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8911f6d902ab280e8fa342272e0b5f1f8bf084b0732154313c039419ade183b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-11-07T00:37:47Z",
    "title_canon_sha256": "2fc2bac62909c26ace3c7a0583d3e97c00a9d6ee54c36bd7efdc51e5aed07af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01864",
    "kind": "arxiv",
    "version": 2
  }
}