Pith Number

pith:THNUUWVY

pith:2024:THNUUWVYMD5ZVYRC2GGD4A6MC7

not attested not anchored not stored refs pending

Quaternary Legendre pairs II

Arne Winterhof, Christoph Koutschan, Ilias S. Kotsireas

arxiv:2408.16318 v2 · 2024-08-29 · 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{THNUUWVYMD5ZVYRC2GGD4A6MC7}

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	2026-07-05T10:40:12.706380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99db4a5ab860fb9ae222d18c3e03cc17cd5f662cf6aa6802019653283ad7b10e

Aliases

arxiv: 2408.16318 · arxiv_version: 2408.16318v2 · doi: 10.48550/arxiv.2408.16318 · pith_short_12: THNUUWVYMD5Z · pith_short_16: THNUUWVYMD5ZVYRC · pith_short_8: THNUUWVY

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/THNUUWVYMD5ZVYRC2GGD4A6MC7 \
  | 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: 99db4a5ab860fb9ae222d18c3e03cc17cd5f662cf6aa6802019653283ad7b10e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b3795c3e250d9854733ec977fab12dec70be8b4eec40a1772ce7cd2f265fdd9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-29T07:37:15Z",
    "title_canon_sha256": "b648bec348c4039680d6e6d924291db95ff0267fc8c75b4e44a40d846db4736f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.16318",
    "kind": "arxiv",
    "version": 2
  }
}