Pith Number

pith:DNJTTY2G

pith:2014:DNJTTY2GH6ZGMY3VHSMUMD3EVV

not attested not anchored not stored refs pending

On the number of 4-cycles in a tournament

Avraham Morgenstern, Nati Linial

arxiv:1405.1576 v3 · 2014-05-07 · 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{DNJTTY2GH6ZGMY3VHSMUMD3EVV}

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	2026-05-18T01:34:59.310524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b5339e3463fb26663753c99460f64ad4f635895a41b86e0bf9150b571543409

Aliases

arxiv: 1405.1576 · arxiv_version: 1405.1576v3 · doi: 10.48550/arxiv.1405.1576 · pith_short_12: DNJTTY2GH6ZG · pith_short_16: DNJTTY2GH6ZGMY3V · pith_short_8: DNJTTY2G

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/DNJTTY2GH6ZGMY3VHSMUMD3EVV \
  | 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: 1b5339e3463fb26663753c99460f64ad4f635895a41b86e0bf9150b571543409

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bbd3c4f723bdcf6a157748c4028719d3f0d05c94115ec9d46faec92b230497d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-07T11:44:24Z",
    "title_canon_sha256": "d339bec45204092f895442ec6328fc1cdbaa5457be8b994e257e87f2d8507c95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1576",
    "kind": "arxiv",
    "version": 3
  }
}