Pith Number

pith:O7QYPRDD

pith:2025:O7QYPRDDOQSE4VCUQBKWPR3IZN

not attested not anchored not stored refs pending

Solomon-Terao polynomials and Castelnouvo-Mumford regularity of hyperplane arrangements

Takuro Abe

arxiv:2509.10047 v1 · 2025-09-12 · 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{O7QYPRDDOQSE4VCUQBKWPR3IZN}

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	2026-07-05T12:11:01.240610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e187c46374244e5454805567c768cb6fbc0bb473bc3c053ab48bcff12396d6

Aliases

arxiv: 2509.10047 · arxiv_version: 2509.10047v1 · doi: 10.48550/arxiv.2509.10047 · pith_short_12: O7QYPRDDOQSE · pith_short_16: O7QYPRDDOQSE4VCU · pith_short_8: O7QYPRDD

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/O7QYPRDDOQSE4VCUQBKWPR3IZN \
  | 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: 77e187c46374244e5454805567c768cb6fbc0bb473bc3c053ab48bcff12396d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b1c4d9880e29c0ae829bb2799ccda9c1b49d639b515c567badf4cb8802545dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-09-12T08:23:23Z",
    "title_canon_sha256": "a7b261c172c2aa5ec5e896db7fd13325e4cdb15076c4f28f6cb09947c8ae0865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10047",
    "kind": "arxiv",
    "version": 1
  }
}