Pith Number

pith:4BKJIGVR

pith:2025:4BKJIGVROFE4S5S75KE6JGIASE

not attested not anchored not stored refs pending

Syzygies of polymatroidal ideals

Anna Shapiro, Jacob P. Matherne, Yairon Cid-Ruiz

arxiv:2507.13153 v1 · 2025-07-17 · math.AC · 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{4BKJIGVROFE4S5S75KE6JGIASE}

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	2026-07-05T11:38:55.556375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e054941ab17149c9765fea89e499009121ad93429d48d3f2620350e5f8f9a3df

Aliases

arxiv: 2507.13153 · arxiv_version: 2507.13153v1 · doi: 10.48550/arxiv.2507.13153 · pith_short_12: 4BKJIGVROFE4 · pith_short_16: 4BKJIGVROFE4S5S7 · pith_short_8: 4BKJIGVR

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/4BKJIGVROFE4S5S75KE6JGIASE \
  | 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: e054941ab17149c9765fea89e499009121ad93429d48d3f2620350e5f8f9a3df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d21b3892f63c947d69406624d3f6e74f3e0de8c51380d971bfbf2173563f820",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-07-17T14:16:02Z",
    "title_canon_sha256": "9e56cb7ba9f17b9d7b4dfbaac287e4ed2f7194245b8fa2a61a546f2eeddec537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13153",
    "kind": "arxiv",
    "version": 1
  }
}