Pith Number

pith:HPN4SU6W

pith:2016:HPN4SU6WYBPMV352S65X7IJPDH

not attested not anchored not stored refs pending

Distinct spreads in vector spaces over finite fields

Ben Lund, Le Anh Vinh, Thang Pham

arxiv:1611.05768 v2 · 2016-11-17 · 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{HPN4SU6WYBPMV352S65X7IJPDH}

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	2026-05-18T00:26:57.705825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bdbc953d6c05ecaefba97bb7fa12f19d7c732413713a910de646e28b51f1426

Aliases

arxiv: 1611.05768 · arxiv_version: 1611.05768v2 · doi: 10.48550/arxiv.1611.05768 · pith_short_12: HPN4SU6WYBPM · pith_short_16: HPN4SU6WYBPMV352 · pith_short_8: HPN4SU6W

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/HPN4SU6WYBPMV352S65X7IJPDH \
  | 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: 3bdbc953d6c05ecaefba97bb7fa12f19d7c732413713a910de646e28b51f1426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f881f2bbd23d7189e5b2638d312da6fe9a7c257a2926094ac83f350045857315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-17T16:32:26Z",
    "title_canon_sha256": "3545c2520a07050a0bf32727a82e2291ac2a18d0893d96a35bf261be8084f1dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05768",
    "kind": "arxiv",
    "version": 2
  }
}