Pith Number

pith:GCP6T7AO

pith:2019:GCP6T7AOLVFB2U2ZCBPCSWZKLJ

not attested not anchored not stored refs pending

Two-graphs and the embedded topology of smooth quartics and its bitangent lines

Momoko Yamamoto-Ohno, Shinzo Bannai

arxiv:1903.07316 v1 · 2019-03-18 · 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{GCP6T7AOLVFB2U2ZCBPCSWZKLJ}

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	2026-05-17T23:51:01.761200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309fe9fc0e5d4a1d5359105e295b2a5a53c503d808dea413af4041864566bc4e

Aliases

arxiv: 1903.07316 · arxiv_version: 1903.07316v1 · doi: 10.48550/arxiv.1903.07316 · pith_short_12: GCP6T7AOLVFB · pith_short_16: GCP6T7AOLVFB2U2Z · pith_short_8: GCP6T7AO

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/GCP6T7AOLVFB2U2ZCBPCSWZKLJ \
  | 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: 309fe9fc0e5d4a1d5359105e295b2a5a53c503d808dea413af4041864566bc4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa58e847d502235c017df09e0439351bb1903a1712efd826f6c4434e29f779ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-18T09:15:38Z",
    "title_canon_sha256": "6e116320c699c6d25e8df7620fe6407f342da362e8e249d9e9c7ae3f8d9ccb00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07316",
    "kind": "arxiv",
    "version": 1
  }
}