Pith Number

pith:ECYCO6PZ

pith:2011:ECYCO6PZ53KOE62WXTUBMK2FHN

not attested not anchored not stored refs pending

A graph-theoretic condition for irreducibility of a set of cone preserving matrices

Andrew Burbanks, Murad Banaji

arxiv:1112.1653 v2 · 2011-12-07 · 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{ECYCO6PZ53KOE62WXTUBMK2FHN}

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	2026-05-18T03:36:37.043085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20b02779f9eed4e27b56bce8162b453b61fdbc73da79ccda7c692f394af8304d

Aliases

arxiv: 1112.1653 · arxiv_version: 1112.1653v2 · doi: 10.48550/arxiv.1112.1653 · pith_short_12: ECYCO6PZ53KO · pith_short_16: ECYCO6PZ53KOE62W · pith_short_8: ECYCO6PZ

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/ECYCO6PZ53KOE62WXTUBMK2FHN \
  | 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: 20b02779f9eed4e27b56bce8162b453b61fdbc73da79ccda7c692f394af8304d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e0bcb2d1ec3a475cbb15069b6acb2291654aaf373cfe6e25133e99bd7ef97d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-07T18:13:19Z",
    "title_canon_sha256": "f832bc6857330956580f8db6ee72b592e91f88528b61a8209419252757bd2a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1653",
    "kind": "arxiv",
    "version": 2
  }
}