Pith Number

pith:2SOLQ5AM

pith:2013:2SOLQ5AM2J5QI7LN4GSFY6GSMK

not attested not anchored not stored refs pending

Maxima of the Q-index: graphs without long paths

Vladimir Nikiforov, Xiying Yuan

arxiv:1308.4341 v1 · 2013-08-20 · 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{2SOLQ5AM2J5QI7LN4GSFY6GSMK}

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	2026-05-18T03:15:33.122653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d49cb8740cd27b047d6de1a45c78d262b29ecba0cac5d8e0cee67d461b6cd765

Aliases

arxiv: 1308.4341 · arxiv_version: 1308.4341v1 · doi: 10.48550/arxiv.1308.4341 · pith_short_12: 2SOLQ5AM2J5Q · pith_short_16: 2SOLQ5AM2J5QI7LN · pith_short_8: 2SOLQ5AM

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/2SOLQ5AM2J5QI7LN4GSFY6GSMK \
  | 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: d49cb8740cd27b047d6de1a45c78d262b29ecba0cac5d8e0cee67d461b6cd765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24795e990dbce368de7533f7b92fef1f69d6741c915f371d58d47492bad9a110",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-20T16:09:51Z",
    "title_canon_sha256": "36943adf9fdf2bf4274999e56a5c4b5dcc10474bc10241662e8f3d354ac8113e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4341",
    "kind": "arxiv",
    "version": 1
  }
}