Pith Number

pith:6FP4BDWZ

pith:2011:6FP4BDWZQH44NT5PIHYOGAQ4KA

not attested not anchored not stored refs pending

A Note on Even Cycles and Quasi-Random Tournaments

Asaf Shapira, Subrahmanyam Kalyanasundaram

arxiv:1108.0011 v2 · 2011-07-29 · 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{6FP4BDWZQH44NT5PIHYOGAQ4KA}

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	2026-05-18T03:53:20.426450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f15fc08ed981f9c6cfaf41f0e3021c50166a5fe440a60c387bea54c19b3375a9

Aliases

arxiv: 1108.0011 · arxiv_version: 1108.0011v2 · doi: 10.48550/arxiv.1108.0011 · pith_short_12: 6FP4BDWZQH44 · pith_short_16: 6FP4BDWZQH44NT5P · pith_short_8: 6FP4BDWZ

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/6FP4BDWZQH44NT5PIHYOGAQ4KA \
  | 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: f15fc08ed981f9c6cfaf41f0e3021c50166a5fe440a60c387bea54c19b3375a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e84dae0e57e29f114f296fb16d007d055f07fb46a4146c1aaeb420ac0812242",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-29T20:22:08Z",
    "title_canon_sha256": "3274d437c0a17bf6371d70abfc22139de14767c6f90738e9ea90dca872097083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0011",
    "kind": "arxiv",
    "version": 2
  }
}