Pith Number

pith:ZI5KGRQJ

pith:2024:ZI5KGRQJRYI6T2ZUI6SJALOOVW

not attested not anchored not stored refs pending

Tropical Feichtner-Yuzvinsky and positivity criterion for fans

Matthieu Piquerez, Omid Amini

arxiv:2405.05014 v1 · 2024-05-08 · 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{ZI5KGRQJRYI6T2ZUI6SJALOOVW}

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

Tropical cohomology via reductions of tropical varieties

Tropical intersection homology

Receipt and verification

First computed	2026-07-05T08:16:57.485455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca3aa346098e11e9eb3447a4902dcead9a731fca28ddb8de25f540020c8c968b

Aliases

arxiv: 2405.05014 · arxiv_version: 2405.05014v1 · doi: 10.48550/arxiv.2405.05014 · pith_short_12: ZI5KGRQJRYI6 · pith_short_16: ZI5KGRQJRYI6T2ZU · pith_short_8: ZI5KGRQJ

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/ZI5KGRQJRYI6T2ZUI6SJALOOVW \
  | 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: ca3aa346098e11e9eb3447a4902dcead9a731fca28ddb8de25f540020c8c968b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b67bf10dc71421c32bab39de4a8837566910184894b415c18c978de077c9bcb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-05-08T12:30:29Z",
    "title_canon_sha256": "251990f299355f0327f311c53305fe3177d01ac3b10e6692a356799bb368498e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.05014",
    "kind": "arxiv",
    "version": 1
  }
}