Pith Number

pith:QTEMB5MO

pith:2016:QTEMB5MOMWLJCSAI4DT7SZKZBE

not attested not anchored not stored refs pending

Tournament limits: Degree distributions, score functions and self-converseness

Erik Th\"ornblad

arxiv:1611.09579 v1 · 2016-11-29 · 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{QTEMB5MOMWLJCSAI4DT7SZKZBE}

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	2026-05-18T00:56:18.015615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84c8c0f58e6596914808e0e7f96559091c60e72a4387c1026ad066bc273ff9f9

Aliases

arxiv: 1611.09579 · arxiv_version: 1611.09579v1 · doi: 10.48550/arxiv.1611.09579 · pith_short_12: QTEMB5MOMWLJ · pith_short_16: QTEMB5MOMWLJCSAI · pith_short_8: QTEMB5MO

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/QTEMB5MOMWLJCSAI4DT7SZKZBE \
  | 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: 84c8c0f58e6596914808e0e7f96559091c60e72a4387c1026ad066bc273ff9f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de5ba5bfe44f639242160a27ec9059728115b7a9e02c9927755fa0014bc26fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-29T11:54:43Z",
    "title_canon_sha256": "38fdacfd81837c62507b7aa310221a84e8b79dbf3e1757a42c6de27f9f81b9a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09579",
    "kind": "arxiv",
    "version": 1
  }
}