Pith Number

pith:2WJDRFKD

pith:2025:2WJDRFKDYLMUW5IZDZM27Z4TYF

not attested not anchored not stored refs pending

Quadratically Enriched Plane Curve Counting via Tropical Geometry

Andr\'es Jaramillo Puentes, Felix R\"ohrle, Hannah Markwig, Sabrina Pauli

arxiv:2502.02569 v4 · 2025-02-04 · math.AG · math.AT · 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{2WJDRFKDYLMUW5IZDZM27Z4TYF}

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

2 papers in Pith

PCMI lecture notes: Motivic explorations in enumerative geometry

Merge-position invariance in quadratically enriched tropical floor diagrams

Receipt and verification

First computed	2026-07-01T01:17:38.994093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d592389543c2d94b75191e59afe793c144e37818bca3ca6b45c5442e4e0e30a5

Aliases

arxiv: 2502.02569 · arxiv_version: 2502.02569v4 · doi: 10.48550/arxiv.2502.02569 · pith_short_12: 2WJDRFKDYLMU · pith_short_16: 2WJDRFKDYLMUW5IZ · pith_short_8: 2WJDRFKD

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/2WJDRFKDYLMUW5IZDZM27Z4TYF \
  | 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: d592389543c2d94b75191e59afe793c144e37818bca3ca6b45c5442e4e0e30a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57edc1c7d2c5ec9f85f936b09f99ca2b1a32501103aacedde91c609b6c1ae01",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-02-04T18:44:57Z",
    "title_canon_sha256": "1ac1218c926324a92f6c951286cf4d9b7e8e3568c9f4cadb2b2731e6feaad146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02569",
    "kind": "arxiv",
    "version": 4
  }
}