Pith Number

pith:YANPAWMH

pith:2022:YANPAWMHKHSOCSQ2AZYULIJX3A

not attested not anchored not stored refs pending

The Bergman fan of a polymatroid

Botong Wang, Colin Crowley, Connor Simpson, June Huh, Matt Larson

arxiv:2207.08764 v2 · 2022-07-18 · math.CO · 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{YANPAWMHKHSOCSQ2AZYULIJX3A}

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

1 paper in Pith

Syzygies of polymatroidal ideals

Receipt and verification

First computed	2026-07-05T07:34:45.507416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c01af0598751e4e14a1a067145a137d80e75630788d882433bc125f166854a1e

Aliases

arxiv: 2207.08764 · arxiv_version: 2207.08764v2 · doi: 10.48550/arxiv.2207.08764 · pith_short_12: YANPAWMHKHSO · pith_short_16: YANPAWMHKHSOCSQ2 · pith_short_8: YANPAWMH

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/YANPAWMHKHSOCSQ2AZYULIJX3A \
  | 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: c01af0598751e4e14a1a067145a137d80e75630788d882433bc125f166854a1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b66dd608ac77d6abede58fac18dbd9d5c043286f018416a25f88d3671c973561",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-18T17:13:21Z",
    "title_canon_sha256": "c15df8c7d7a427433f66e9afe18ebae41b4dd08833bf860792dd85e664627bbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.08764",
    "kind": "arxiv",
    "version": 2
  }
}