Pith Number

pith:E6CGS6H2

pith:2012:E6CGS6H2EERO54MFNOYUEJWAXS

not attested not anchored not stored refs pending

A note on directed 4-cycles in digraphs

Hao Liang, Jun-Ming Xu

arxiv:1204.4515 v1 · 2012-04-20 · 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{E6CGS6H2EERO54MFNOYUEJWAXS}

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	2026-05-18T03:57:26.348875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27846978fa2122eef1856bb14226c0bca6ba8577fb0b2d9513a5e238506a5138

Aliases

arxiv: 1204.4515 · arxiv_version: 1204.4515v1 · doi: 10.48550/arxiv.1204.4515 · pith_short_12: E6CGS6H2EERO · pith_short_16: E6CGS6H2EERO54MF · pith_short_8: E6CGS6H2

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/E6CGS6H2EERO54MFNOYUEJWAXS \
  | 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: 27846978fa2122eef1856bb14226c0bca6ba8577fb0b2d9513a5e238506a5138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1329910cb026744043fb6b0842e06770a381dd5adfbef718aebe924f1ac89a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-20T01:55:47Z",
    "title_canon_sha256": "1776ac78cc273fc5d1e0133ae82597dd6a01df80499e02dd1b021321ce236059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4515",
    "kind": "arxiv",
    "version": 1
  }
}