Pith Number

pith:LBHPETKO

pith:2013:LBHPETKOJKHKY5CC7PTSKMRHUY

not attested not anchored not stored refs pending

Maximum norms of graphs and matrices, and their complements

Vladimir Nikiforov, Xiying Yuan

arxiv:1302.1239 v1 · 2013-02-06 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBHPETKOJKHKY5CC7PTSKMRHUY}

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	2026-05-18T03:34:24.790577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

584ef24d4e4a8eac7442fbe7253227a6352cbea8e663fd68c0c6da49e7c0b8fb

Aliases

arxiv: 1302.1239 · arxiv_version: 1302.1239v1 · doi: 10.48550/arxiv.1302.1239 · pith_short_12: LBHPETKOJKHK · pith_short_16: LBHPETKOJKHKY5CC · pith_short_8: LBHPETKO

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/LBHPETKOJKHKY5CC7PTSKMRHUY \
  | 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: 584ef24d4e4a8eac7442fbe7253227a6352cbea8e663fd68c0c6da49e7c0b8fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244cd9152672ae7e23ffb9e63fbcac1a6c2ffa58bc773aacd80f6c74ffc08173",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-06T00:59:58Z",
    "title_canon_sha256": "9e3cdc084a2dbb5171d9229b855b0c7eb049abc3073be5ae3f6fc5a3f3338682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1239",
    "kind": "arxiv",
    "version": 1
  }
}