Pith Number

pith:TSZH3CVQ

pith:2021:TSZH3CVQDITJVQRIUAHFQSMRYD

not attested not anchored not stored refs pending

Legendre pair of length $77$ using complementary binary matrices with fixed marginals

Andrew Geyer, Dursun Bulutoglu, Ilias Kotsireas, Jonathan Turner

arxiv:2101.10918 v1 · 2021-01-26 · 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{TSZH3CVQDITJVQRIUAHFQSMRYD}

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	2026-07-05T02:10:03.568474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cb27d8ab01a269ac228a00e584991c0de2c4892779e493e55d2501834f23d4c

Aliases

arxiv: 2101.10918 · arxiv_version: 2101.10918v1 · doi: 10.48550/arxiv.2101.10918 · pith_short_12: TSZH3CVQDITJ · pith_short_16: TSZH3CVQDITJVQRI · pith_short_8: TSZH3CVQ

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/TSZH3CVQDITJVQRIUAHFQSMRYD \
  | 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: 9cb27d8ab01a269ac228a00e584991c0de2c4892779e493e55d2501834f23d4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307aee3c53f3a35c89d802f4f681a37377de1fdc231a280e3b4403d77ea6d78a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-01-26T16:37:40Z",
    "title_canon_sha256": "bc01be9542c32d641482c8d2640e9791dd68cffce7972584304eae42375e8bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.10918",
    "kind": "arxiv",
    "version": 1
  }
}