Pith Number

pith:TPMQMZ4O

pith:2026:TPMQMZ4OQ3UNS7RW6G6M5VQGYL

not attested not anchored not stored refs pending

Transitivity in Inhomogeneous Random Tournaments

Bhaswar B. Bhattacharya, Sayak Chatterjee

arxiv:2606.02340 v1 · 2026-06-01 · math.PR · math.CO · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TPMQMZ4OQ3UNS7RW6G6M5VQGYL}

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.

Cited by

1 paper in Pith

Forcing Quasirandomness via Rooted F-Densities

Receipt and verification

First computed	2026-06-02T03:04:56.512608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bd906678e86e8d97e36f1bcced606c2dd8a9ec0a13e01e6f244c913fab15394

Aliases

arxiv: 2606.02340 · arxiv_version: 2606.02340v1 · doi: 10.48550/arxiv.2606.02340 · pith_short_12: TPMQMZ4OQ3UN · pith_short_16: TPMQMZ4OQ3UNS7RW · pith_short_8: TPMQMZ4O

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/TPMQMZ4OQ3UNS7RW6G6M5VQGYL \
  | 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: 9bd906678e86e8d97e36f1bcced606c2dd8a9ec0a13e01e6f244c913fab15394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c5455460aa5b3d0100ee0ca93efe2fbaf1c4c037c6756dc1ef884a59fd8387c",
    "cross_cats_sorted": [
      "math.CO",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-01T14:48:19Z",
    "title_canon_sha256": "94bd64a197aa8d475105907c3a323494f73a4f0e82ad935cced28a4c367e7767"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02340",
    "kind": "arxiv",
    "version": 1
  }
}