Pith Number

pith:5OANKBFJ

pith:2010:5OANKBFJSVPTGQJLIEU5MRFUWA

not attested not anchored not stored refs pending

The freeness of Shi-Catalan arrangements

Hiroaki Terao, Takuro Abe

arxiv:1012.5884 v1 · 2010-12-29 · 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{5OANKBFJSVPTGQJLIEU5MRFUWA}

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	2026-05-18T04:13:55.218000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb80d504a9955f33412b4129d644b4b00396d54fcec8654e275399e91578893e

Aliases

arxiv: 1012.5884 · arxiv_version: 1012.5884v1 · doi: 10.48550/arxiv.1012.5884 · pith_short_12: 5OANKBFJSVPT · pith_short_16: 5OANKBFJSVPTGQJL · pith_short_8: 5OANKBFJ

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/5OANKBFJSVPTGQJLIEU5MRFUWA \
  | 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: eb80d504a9955f33412b4129d644b4b00396d54fcec8654e275399e91578893e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28273be30928b33f1a96130606bb55b8b466b34f957ebc93caab41d6dfb17f49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-29T08:10:14Z",
    "title_canon_sha256": "691e82ca46f469cc268a71484d0d0b194b527ec2e619a55fa3068066ccfbad58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5884",
    "kind": "arxiv",
    "version": 1
  }
}