Pith Number

pith:ZF6KDEP4

pith:2015:ZF6KDEP4HNK66GYN4DZT5HUY5W

not attested not anchored not stored refs pending

Counting toroidal binary arrays, II

Jiyeon Lee, S. N. Ethier

arxiv:1502.03792 v1 · 2015-02-12 · 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{ZF6KDEP4HNK66GYN4DZT5HUY5W}

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	2026-05-18T02:27:08.849863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97ca191fc3b55ef1b0de0f33e9e98ed9efb52757207b772fb9ad7157f448c44

Aliases

arxiv: 1502.03792 · arxiv_version: 1502.03792v1 · doi: 10.48550/arxiv.1502.03792 · pith_short_12: ZF6KDEP4HNK6 · pith_short_16: ZF6KDEP4HNK66GYN · pith_short_8: ZF6KDEP4

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/ZF6KDEP4HNK66GYN4DZT5HUY5W \
  | 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: c97ca191fc3b55ef1b0de0f33e9e98ed9efb52757207b772fb9ad7157f448c44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6676f2ac4f75408d595d58665302d45d5b192d00ac5702ff554f32979092b61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-12T20:06:54Z",
    "title_canon_sha256": "bec341053244b5508f2ddeba98302c2e7dd68785c1daf31c359a6c0f53ac9c04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03792",
    "kind": "arxiv",
    "version": 1
  }
}