Pith Number

pith:GKPCLST3

pith:2025:GKPCLST3NQKL5DI6ZTXAR5OEW2

not attested not anchored not stored refs pending

On the piecewise quasipolynomiality of double tropical Welschinger invariants

Vincenzo Reda

arxiv:2511.03342 v2 · 2025-11-05 · 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{GKPCLST3NQKL5DI6ZTXAR5OEW2}

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	2026-05-17T23:39:00.936187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

329e25ca7b6c14be8d1eccee08f5c4b6a26053511f5665b76f8479d50432486d

Aliases

arxiv: 2511.03342 · arxiv_version: 2511.03342v2 · doi: 10.48550/arxiv.2511.03342 · pith_short_12: GKPCLST3NQKL · pith_short_16: GKPCLST3NQKL5DI6 · pith_short_8: GKPCLST3

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/GKPCLST3NQKL5DI6ZTXAR5OEW2 \
  | 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: 329e25ca7b6c14be8d1eccee08f5c4b6a26053511f5665b76f8479d50432486d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "139332a8666f4c98d637b8cfc48c01d15443e713f435789b345776561143a4fd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-11-05T10:22:58Z",
    "title_canon_sha256": "7a4a9a844ce04b725b7fccf4167c9f534a9cb07e66369e5855188661440ecb96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.03342",
    "kind": "arxiv",
    "version": 2
  }
}