Pith Number

pith:TV4L3OTS

pith:2018:TV4L3OTS23C6VUMV3CVRHJ7PKJ

not attested not anchored not stored refs pending

Minimum number of non-zero-entries in a $7\times 7$ stable matrix

Chi-Kwong Li, Christopher Hambric, Diane Christine Pelejo, Junping Shi

arxiv:1805.09004 v1 · 2018-05-23 · 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{TV4L3OTS23C6VUMV3CVRHJ7PKJ}

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	2026-05-18T00:15:08.820854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d78bdba72d6c5ead195d8ab13a7ef52472654a2e22401789491f2e96ef01c56

Aliases

arxiv: 1805.09004 · arxiv_version: 1805.09004v1 · doi: 10.48550/arxiv.1805.09004 · pith_short_12: TV4L3OTS23C6 · pith_short_16: TV4L3OTS23C6VUMV · pith_short_8: TV4L3OTS

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/TV4L3OTS23C6VUMV3CVRHJ7PKJ \
  | 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: 9d78bdba72d6c5ead195d8ab13a7ef52472654a2e22401789491f2e96ef01c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de3e57718671781a7501a0728194356046f2c6d45a50df8b75663e3345c6fdaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-23T08:14:05Z",
    "title_canon_sha256": "192cef4e00bf64096503692028ccc039c9715e54b0ab2eb48300a2191de1da76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09004",
    "kind": "arxiv",
    "version": 1
  }
}