Pith Number

pith:RWPXCILW

pith:2013:RWPXCILWXSSLF4W3CTOC3RLKEY

not attested not anchored not stored refs pending

The minimum rank of a sign pattern matrix with a 1-separation

Frank J. Hall, Hein van der Holst, Lihua Zhang, Marina Arav, Wenyan Zhou, Zhongshan Li

arxiv:1310.3520 v1 · 2013-10-13 · 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{RWPXCILWXSSLF4W3CTOC3RLKEY}

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	2026-05-18T03:10:35.467725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d9f712176bca4b2f2db14dc2dc56a26232a4679c2286e64450ace56ed9e531d

Aliases

arxiv: 1310.3520 · arxiv_version: 1310.3520v1 · doi: 10.48550/arxiv.1310.3520 · pith_short_12: RWPXCILWXSSL · pith_short_16: RWPXCILWXSSLF4W3 · pith_short_8: RWPXCILW

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/RWPXCILWXSSLF4W3CTOC3RLKEY \
  | 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: 8d9f712176bca4b2f2db14dc2dc56a26232a4679c2286e64450ace56ed9e531d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fa23fdffe65433148e66edc2f838446423034c99335228f0a814f123f6da137",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-13T20:49:16Z",
    "title_canon_sha256": "d56c88c747b69cf2990cc029df932bcb6ec9e16fbf9e795d3ee9de180e307e48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3520",
    "kind": "arxiv",
    "version": 1
  }
}