Pith Number

pith:CN7P3KFR

pith:2020:CN7P3KFRA6MQ45XGJMOC765KWQ

not attested not anchored not stored refs pending

Non-repeated cycle lengths and Sidon sequences

Jie Ma, Tianchi Yang

arxiv:2007.12513 v1 · 2020-07-24 · 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{CN7P3KFRA6MQ45XGJMOC765KWQ}

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	2026-07-05T01:21:53.060183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

137efda8b107990e76e64b1c2ffbaab43ebef2478c31bc2b1834ba63732bfa2d

Aliases

arxiv: 2007.12513 · arxiv_version: 2007.12513v1 · doi: 10.48550/arxiv.2007.12513 · pith_short_12: CN7P3KFRA6MQ · pith_short_16: CN7P3KFRA6MQ45XG · pith_short_8: CN7P3KFR

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/CN7P3KFRA6MQ45XGJMOC765KWQ \
  | 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: 137efda8b107990e76e64b1c2ffbaab43ebef2478c31bc2b1834ba63732bfa2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c34e3ae95d4c48680a6e7c4d3ab8e8efab31c0f87fdca394ab79df7f759735b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-07-24T13:12:50Z",
    "title_canon_sha256": "216f927cc6db8a827dec26c6ee5967b8604e8f1c499d929bf06a01c823cc811e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.12513",
    "kind": "arxiv",
    "version": 1
  }
}