Pith Number

pith:NM2J3X5E

pith:2017:NM2J3X5E3UR2QA3ZPKBHNJGKDG

not attested not anchored not stored refs pending

Tropical hyperelliptic curves in the plane

Ralph Morrison

arxiv:1708.00571 v2 · 2017-08-02 · 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{NM2J3X5E3UR2QA3ZPKBHNJGKDG}

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.

Cited by

1 paper in Pith

Tropical geometry

Receipt and verification

First computed	2026-07-05T00:26:03.530264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b349ddfa4dd23a803797a8276a4ca19add842fadd7530d61a8255e495ded1e3

Aliases

arxiv: 1708.00571 · arxiv_version: 1708.00571v2 · doi: 10.48550/arxiv.1708.00571 · pith_short_12: NM2J3X5E3UR2 · pith_short_16: NM2J3X5E3UR2QA3Z · pith_short_8: NM2J3X5E

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/NM2J3X5E3UR2QA3ZPKBHNJGKDG \
  | 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: 6b349ddfa4dd23a803797a8276a4ca19add842fadd7530d61a8255e495ded1e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2ef5435748a8bdf3ca574b7201537b205f622a8c1b173d05bd79634d35f0a4d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-02T01:25:29Z",
    "title_canon_sha256": "4448755358529cce6109fcdf93d5aa8a4861123c78cd9591387bb46623efd84f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00571",
    "kind": "arxiv",
    "version": 2
  }
}