Pith Number

pith:4GA7BZT3

pith:2025:4GA7BZT3W4QQUYMZSGVUNRU4XG

not attested not anchored not stored refs pending

K-rings of smooth toric varieties via piecewise-exponential functions

Caroline Klivans, Dustin Ross, Emily Clader, Melody Chan

arxiv:2507.13610 v2 · 2025-07-18 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GA7BZT3W4QQUYMZSGVUNRU4XG}

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

Grothendieck Weights on Permutohedral Varieties and Matroids

Receipt and verification

First computed	2026-06-05T01:14:28.121013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e181f0e67bb7210a619991ab46c69cb99a8c32d1bda3e5b67f76383ecf0aa940

Aliases

arxiv: 2507.13610 · arxiv_version: 2507.13610v2 · doi: 10.48550/arxiv.2507.13610 · pith_short_12: 4GA7BZT3W4QQ · pith_short_16: 4GA7BZT3W4QQUYMZ · pith_short_8: 4GA7BZT3

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/4GA7BZT3W4QQUYMZSGVUNRU4XG \
  | 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: e181f0e67bb7210a619991ab46c69cb99a8c32d1bda3e5b67f76383ecf0aa940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67eab105a13930aa8ca75e33478268d37938cafc5a56990f9f276926147994e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-18T02:32:10Z",
    "title_canon_sha256": "4a8c2b2091529eb80b03001b577b5f7e990739d96843dff30039d88049641be2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13610",
    "kind": "arxiv",
    "version": 2
  }
}