Pith Number

pith:BOF27LKN

pith:2020:BOF27LKN43U7AUA7B2TLHC63YX

not attested not anchored not stored refs pending

On the directions determined by a Cartesian product in an affine Galois plane

Daniel di Benedetto, Ethan P. White, Jozsef Solymosi

arxiv:2001.06994 v2 · 2020-01-20 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BOF27LKN43U7AUA7B2TLHC63YX}

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	2026-07-05T01:13:08.073674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b8bafad4de6e9f0501f0ea6b38bdbc5e49dac7c8d1c2d093b80d25beba99022

Aliases

arxiv: 2001.06994 · arxiv_version: 2001.06994v2 · doi: 10.48550/arxiv.2001.06994 · pith_short_12: BOF27LKN43U7 · pith_short_16: BOF27LKN43U7AUA7 · pith_short_8: BOF27LKN

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/BOF27LKN43U7AUA7B2TLHC63YX \
  | 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: 0b8bafad4de6e9f0501f0ea6b38bdbc5e49dac7c8d1c2d093b80d25beba99022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f33a8c9b26cc7ecb725b0fb276fb7cc305cc59fc475b5c9444a9e8d115e7bd61",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-01-20T06:41:52Z",
    "title_canon_sha256": "3764976268f5558aad704826eafb606db0f74a92dbc65fe29a6410161924e4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.06994",
    "kind": "arxiv",
    "version": 2
  }
}