Pith Number

pith:YC6NH5EE

pith:2013:YC6NH5EESPHJPCE3BRGDIX6BEW

not attested not anchored not stored refs pending

Roots of characteristic polynomials and intersection points of line arrangements

Takuro Abe

arxiv:1302.3822 v3 · 2013-02-15 · 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{YC6NH5EESPHJPCE3BRGDIX6BEW}

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	2026-05-18T02:54:12.815616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0bcd3f48493ce97889b0c4c345fc1259bde19391cfe5942886159e81af9235c

Aliases

arxiv: 1302.3822 · arxiv_version: 1302.3822v3 · doi: 10.48550/arxiv.1302.3822 · pith_short_12: YC6NH5EESPHJ · pith_short_16: YC6NH5EESPHJPCE3 · pith_short_8: YC6NH5EE

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/YC6NH5EESPHJPCE3BRGDIX6BEW \
  | 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: c0bcd3f48493ce97889b0c4c345fc1259bde19391cfe5942886159e81af9235c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ca3db4f0e9c9809404b34268d4d5f9bc9d940ace591d8fde9dfb9847cab69d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-15T17:49:03Z",
    "title_canon_sha256": "56514b26568065914d7f913c332c270d42a4a063d281947bed62deab8522e8d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3822",
    "kind": "arxiv",
    "version": 3
  }
}