Pith Number

pith:CGRKMU4B

pith:2025:CGRKMU4BPKKHCHS2C2BHVQPMW7

not attested not anchored not stored refs pending

Positivity of generalized cluster scattering diagrams

Amanda Burcroff, Kyungyong Lee, Lang Mou

arxiv:2503.03719 v1 · 2025-03-05 · math.CO · math.AC · math.AG · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGRKMU4BPKKHCHS2C2BHVQPMW7}

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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

Cluster Expansions from Punctured Orbifolds

Receipt and verification

First computed	2026-07-05T10:24:59.439357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a2a653817a94711e5a16827ac1ecb7fce2e3d8687f916a3405823f0aebcc42

Aliases

arxiv: 2503.03719 · arxiv_version: 2503.03719v1 · doi: 10.48550/arxiv.2503.03719 · pith_short_12: CGRKMU4BPKKH · pith_short_16: CGRKMU4BPKKHCHS2 · pith_short_8: CGRKMU4B

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/CGRKMU4BPKKHCHS2C2BHVQPMW7 \
  | 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: 11a2a653817a94711e5a16827ac1ecb7fce2e3d8687f916a3405823f0aebcc42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2387d17c487470d664a303707167a3105ceb7a4f15a473dccb3ed2e09562d1c7",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG",
      "math.RA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-05T18:17:03Z",
    "title_canon_sha256": "9497679f511a17b2f11aa677c8ca5f62251e6f5c43f8c4a2cb86636b67c6a7e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.03719",
    "kind": "arxiv",
    "version": 1
  }
}