Pith Number

pith:6TKNKDS3

pith:2016:6TKNKDS3I6NQZJSXMV3OL7KNK3

not attested not anchored not stored refs pending

Periodicity in Rectangular Arrays

Guilhem Gamard, Gwena\"el Richomme, Jeffrey Shallit, Taylor J. Smith

arxiv:1602.06915 v2 · 2016-02-22 · cs.DM · 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{6TKNKDS3I6NQZJSXMV3OL7KNK3}

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	2026-05-18T01:11:38.444202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4d4d50e5b479b0ca6576576e5fd4d56dea230761c648b38414a00fb72e01439

Aliases

arxiv: 1602.06915 · arxiv_version: 1602.06915v2 · doi: 10.48550/arxiv.1602.06915 · pith_short_12: 6TKNKDS3I6NQ · pith_short_16: 6TKNKDS3I6NQZJSX · pith_short_8: 6TKNKDS3

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/6TKNKDS3I6NQZJSXMV3OL7KNK3 \
  | 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: f4d4d50e5b479b0ca6576576e5fd4d56dea230761c648b38414a00fb72e01439

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39219826caacb91849b81699dba046cd1f33a6dfdc59e2e8079a2e1b9adbf2bf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-02-22T19:54:33Z",
    "title_canon_sha256": "a456969c00dec4a99065dbbaf3424e6092084ddc32f212a548cfd38ad8e64ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06915",
    "kind": "arxiv",
    "version": 2
  }
}