Pith Number

pith:62ZBYN6V

pith:2013:62ZBYN6VFYNVLVM7TMWOWVIHT5

not attested not anchored not stored refs pending

Sidon Sets and graphs without 4-cycles

Craig Timmons, Michael Tait

arxiv:1309.6350 v2 · 2013-09-24 · 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{62ZBYN6VFYNVLVM7TMWOWVIHT5}

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	2026-05-18T03:01:46.106104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b21c37d52e1b55d59f9b2ceb55079f486f6d7686532a9e4c6dd1fe98e331b9

Aliases

arxiv: 1309.6350 · arxiv_version: 1309.6350v2 · doi: 10.48550/arxiv.1309.6350 · pith_short_12: 62ZBYN6VFYNV · pith_short_16: 62ZBYN6VFYNVLVM7 · pith_short_8: 62ZBYN6V

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/62ZBYN6VFYNVLVM7TMWOWVIHT5 \
  | 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: f6b21c37d52e1b55d59f9b2ceb55079f486f6d7686532a9e4c6dd1fe98e331b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cc596098c2c98272524d0f2adbf582ab2171c227dd6ac56a7bb13d55d29f7f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-24T21:16:34Z",
    "title_canon_sha256": "fa2ae1594a8d170190c4c06b9164f70faab3279b82180fe0662e92a4896736f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6350",
    "kind": "arxiv",
    "version": 2
  }
}