Pith Number

pith:3SK2IDOQ

pith:2026:3SK2IDOQUDVC3RQLFA3PSQGH42

not attested not anchored not stored refs pending

Residue ideals of hyperplane arrangements

Satoshi Murai, Takuro Abe

arxiv:2606.16091 v2 · 2026-06-15 · math.CO · math.AC · 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{3SK2IDOQUDVC3RQLFA3PSQGH42}

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	2026-06-19T16:10:01.661884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc95a40dd0a0ea2dc60b2836f940c7e68a7bcef0d56088a21631724b68520fcf

Aliases

arxiv: 2606.16091 · arxiv_version: 2606.16091v2 · doi: 10.48550/arxiv.2606.16091 · pith_short_12: 3SK2IDOQUDVC · pith_short_16: 3SK2IDOQUDVC3RQL · pith_short_8: 3SK2IDOQ

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/3SK2IDOQUDVC3RQLFA3PSQGH42 \
  | 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: dc95a40dd0a0ea2dc60b2836f940c7e68a7bcef0d56088a21631724b68520fcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9fe02d45b2bc4bd62f328b4737fa5fddeaddb25266ca3632893ec5b39cf9588",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-15T01:14:09Z",
    "title_canon_sha256": "1275de3dd35a4d46dc2c85824dfad02c3fb2916402c4c8c4e2fdccccfb70d042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.16091",
    "kind": "arxiv",
    "version": 2
  }
}