Pith Number

pith:5DRFJQZR

pith:2019:5DRFJQZRV5GF23V6CSJFPXPWIO

not attested not anchored not stored refs pending

The matroid structure of vectors of the Mordell-Weil lattice and the topology of plane quartics and bitangent lines

Ryutaro Sato, Shinzo Bannai

arxiv:1902.04723 v1 · 2019-02-13 · 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{5DRFJQZRV5GF23V6CSJFPXPWIO}

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	2026-05-17T23:54:06.186614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8e254c331af4c5d6ebe149257ddf643aeaa3f9165a83e425573bdb3c33dd064

Aliases

arxiv: 1902.04723 · arxiv_version: 1902.04723v1 · doi: 10.48550/arxiv.1902.04723 · pith_short_12: 5DRFJQZRV5GF · pith_short_16: 5DRFJQZRV5GF23V6 · pith_short_8: 5DRFJQZR

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/5DRFJQZRV5GF23V6CSJFPXPWIO \
  | 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: e8e254c331af4c5d6ebe149257ddf643aeaa3f9165a83e425573bdb3c33dd064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013437f6738f1c31d4b974e00dc7b16aad49f445d1705d70eea99c42997dc3fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-13T03:07:32Z",
    "title_canon_sha256": "365faca75c5d02c6e21c925c8356ae50e3e23dcf46125ebbbb1c57fa23ef1e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04723",
    "kind": "arxiv",
    "version": 1
  }
}