Pith Number

pith:4UTGZASN

pith:2013:4UTGZASNIR67L3E7K2SU372EM6

not attested not anchored not stored refs pending

On the structure of the directions not determined by a large affine point set

Jan De Beule, Marcella Tak\'ats, P\'eter Sziklai

arxiv:1302.2513 v1 · 2013-02-11 · 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{4UTGZASNIR67L3E7K2SU372EM6}

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	2026-05-18T03:34:00.927020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5266c824d447df5ec9f56a54dff44678d8bda74d4b527561e849363804a5bf2

Aliases

arxiv: 1302.2513 · arxiv_version: 1302.2513v1 · doi: 10.48550/arxiv.1302.2513 · pith_short_12: 4UTGZASNIR67 · pith_short_16: 4UTGZASNIR67L3E7 · pith_short_8: 4UTGZASN

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/4UTGZASNIR67L3E7K2SU372EM6 \
  | 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: e5266c824d447df5ec9f56a54dff44678d8bda74d4b527561e849363804a5bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ced9feb6f98292ab42535c6524b57ed55b6625ade6c7e968e90e695bde98322",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-11T15:59:43Z",
    "title_canon_sha256": "6899bd0af62b9d0b6bf884c22b3e2ff1bab7b4fa78d520e56ce2f6e642f63a48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2513",
    "kind": "arxiv",
    "version": 1
  }
}