Pith Number

pith:3A2PHZ4E

pith:2011:3A2PHZ4E4RTI4QTWXQST2LQZKL

not attested not anchored not stored refs pending

On computation of the characteristic polynomials of the discriminantal arrangements and the arrangements generated by generic points

Akimichi Takemura, Yasuhide Numata

arxiv:1110.0162 v1 · 2011-10-02 · 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{3A2PHZ4E4RTI4QTWXQST2LQZKL}

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	2026-05-18T03:36:46.661333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d834f3e784e4668e4276bc253d2e1952f09ad981c2e6d71b18763b0bf8d416d0

Aliases

arxiv: 1110.0162 · arxiv_version: 1110.0162v1 · doi: 10.48550/arxiv.1110.0162 · pith_short_12: 3A2PHZ4E4RTI · pith_short_16: 3A2PHZ4E4RTI4QTW · pith_short_8: 3A2PHZ4E

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/3A2PHZ4E4RTI4QTWXQST2LQZKL \
  | 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: d834f3e784e4668e4276bc253d2e1952f09ad981c2e6d71b18763b0bf8d416d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4a244f1822ec61a2b7326f3ec267e187fcdef536647c42c4f6217016c0b4f5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-02T09:15:25Z",
    "title_canon_sha256": "ef65612c40c982ae1f9b3c69d8871d04b52ebf8cd57388df680fe2a58f667d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0162",
    "kind": "arxiv",
    "version": 1
  }
}