Pith Number

pith:CI6NTVXI

pith:2016:CI6NTVXISD3HHKRETHD4BL6GAZ

not attested not anchored not stored refs pending

Upper bounds on the size of transitive subtournaments in digraphs

Koji Momihara, Sho Suda

arxiv:1605.02469 v1 · 2016-05-09 · 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{CI6NTVXISD3HHKRETHD4BL6GAZ}

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	2026-05-18T01:15:16.468105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

123cd9d6e890f673aa2499c7c0afc6067ac3af6acef22e8e9d76ff6bfee18469

Aliases

arxiv: 1605.02469 · arxiv_version: 1605.02469v1 · doi: 10.48550/arxiv.1605.02469 · pith_short_12: CI6NTVXISD3H · pith_short_16: CI6NTVXISD3HHKRE · pith_short_8: CI6NTVXI

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/CI6NTVXISD3HHKRETHD4BL6GAZ \
  | 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: 123cd9d6e890f673aa2499c7c0afc6067ac3af6acef22e8e9d76ff6bfee18469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72b7ca72f47cfcc9178ab68225a33fd579c00ce1b210590a4989576dba08fd52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-09T08:34:52Z",
    "title_canon_sha256": "5130accb316fcb9e7b7adcd8c0fe1d6ccb457e6dd58df0f79666e8121514d971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02469",
    "kind": "arxiv",
    "version": 1
  }
}