Pith Number

pith:UKBJ4AJ7

pith:2018:UKBJ4AJ7KYFQHOTRPBKGM5HY7L

not attested not anchored not stored refs pending

On the Abel-Jacobi map of an elliptic surface and the topology of cubic-line arrangements

Hiro-o Tokunaga, Shinzo Bannai

arxiv:1802.06661 v1 · 2018-02-19 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UKBJ4AJ7KYFQHOTRPBKGM5HY7L}

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	2026-05-18T00:23:02.645542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2829e013f560b03ba7178546674f8faf6048f6ed373a1e9fdb0389932a43750

Aliases

arxiv: 1802.06661 · arxiv_version: 1802.06661v1 · doi: 10.48550/arxiv.1802.06661 · pith_short_12: UKBJ4AJ7KYFQ · pith_short_16: UKBJ4AJ7KYFQHOTR · pith_short_8: UKBJ4AJ7

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/UKBJ4AJ7KYFQHOTRPBKGM5HY7L \
  | 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: a2829e013f560b03ba7178546674f8faf6048f6ed373a1e9fdb0389932a43750

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "679d37ce0cf50321f0fd3d41a29c330cce278a5c2553e8c0c7726eb64b656d38",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-19T15:02:45Z",
    "title_canon_sha256": "7f4e07333bc2d4a63edef87112b74da6b7ed5a5afcabbc09b4db6bb1cf30f74b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06661",
    "kind": "arxiv",
    "version": 1
  }
}