Pith Number

pith:2NS2A5ZM

pith:2017:2NS2A5ZMPP7Q5ZAKGJMUU3N56Z

not attested not anchored not stored refs pending

Double Kodaira fibrations with small signature

Ju A Lee, Michael L\"onne, S\"onke Rollenske

arxiv:1711.01792 v1 · 2017-11-06 · 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{2NS2A5ZMPP7Q5ZAKGJMUU3N56Z}

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	2026-05-18T00:31:16.833398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d365a0772c7bff0ee40a32594a6dbdf663958abf42c1188fe214d86b8433fa52

Aliases

arxiv: 1711.01792 · arxiv_version: 1711.01792v1 · doi: 10.48550/arxiv.1711.01792 · pith_short_12: 2NS2A5ZMPP7Q · pith_short_16: 2NS2A5ZMPP7Q5ZAK · pith_short_8: 2NS2A5ZM

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/2NS2A5ZMPP7Q5ZAKGJMUU3N56Z \
  | 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: d365a0772c7bff0ee40a32594a6dbdf663958abf42c1188fe214d86b8433fa52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9307f29588b1299851bd1b332c7759a78bd35ddc2bcd05f125a39da015ac29c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-11-06T09:12:54Z",
    "title_canon_sha256": "fcb7cee0985558be0b54119fa239e2ad66390678e2c7f7e98cb930c543cf352b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01792",
    "kind": "arxiv",
    "version": 1
  }
}