Pith Number

pith:H642KAHJ

pith:2017:H642KAHJ6OFXLS7H6TSF2DXCV6

not attested not anchored not stored refs pending

Planar Tropical Cubic Curves of Any Genus, and Higher Dimensional Generalisations

Beno\^it Bertrand, Erwan Brugall\'e, Luc\'ia L\'opez de Medrano

arxiv:1707.09381 v2 · 2017-07-28 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H642KAHJ6OFXLS7H6TSF2DXCV6}

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	2026-05-17T23:49:44.307270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fb9a500e9f38b75cbe7f4e45d0ee2afa7187881561a6f711b2c36df5d1f7474

Aliases

arxiv: 1707.09381 · arxiv_version: 1707.09381v2 · doi: 10.48550/arxiv.1707.09381 · pith_short_12: H642KAHJ6OFX · pith_short_16: H642KAHJ6OFXLS7H · pith_short_8: H642KAHJ

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/H642KAHJ6OFXLS7H6TSF2DXCV6 \
  | 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: 3fb9a500e9f38b75cbe7f4e45d0ee2afa7187881561a6f711b2c36df5d1f7474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e605238a295f88123e782075ab4eae24ebe47a5f6c46b28e25774c6848354a26",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-28T19:09:00Z",
    "title_canon_sha256": "0f9204b5d75b6901d7b9fbea6f0c869a5d11f439dfb3e14008af3f95538aaf29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09381",
    "kind": "arxiv",
    "version": 2
  }
}