Pith Number

pith:4H4WWAHE

pith:2013:4H4WWAHEJGGBWGWRDXBZNQMEKB

not attested not anchored not stored refs pending

Tur\'an numbers and batch codes

Csilla Bujt\'as, Zsolt Tuza

arxiv:1309.6506 v1 · 2013-09-25 · 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{4H4WWAHEJGGBWGWRDXBZNQMEKB}

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	2026-05-18T03:12:20.831689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1f96b00e4498c1b1ad11dc396c18450714c08f0d89666e6c0ccf9d94c163e30

Aliases

arxiv: 1309.6506 · arxiv_version: 1309.6506v1 · doi: 10.48550/arxiv.1309.6506 · pith_short_12: 4H4WWAHEJGGB · pith_short_16: 4H4WWAHEJGGBWGWR · pith_short_8: 4H4WWAHE

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/4H4WWAHEJGGBWGWRDXBZNQMEKB \
  | 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: e1f96b00e4498c1b1ad11dc396c18450714c08f0d89666e6c0ccf9d94c163e30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f8f101b2ab2aa5e019974ffa4d8f7a0910fdd50916ac2402ee5d6dfd0d35a52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-25T13:54:01Z",
    "title_canon_sha256": "7f7d1a6ff7e417ed9aa45fde174135207cf88a026a7ea5527b6736b457fc44a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6506",
    "kind": "arxiv",
    "version": 1
  }
}