Pith Number

pith:6BRRHKWS

pith:2023:6BRRHKWSW3DAHAR5BHRTJY2326

not attested not anchored not stored refs pending

VC-Dimension of Hyperplanes over Finite Fields

Alex Iosevich, Brian McDonald, Francisco Romero Acosta, Justin Cheigh, Livia Betti, Ruben Ascoli, Ryan Jeong, Santiago Velazquez Iannuzzelli, Steven J. Miller, Wyatt Milgrim, Xuyan Liu

arxiv:2307.10425 v1 · 2023-07-19 · 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{6BRRHKWSW3DAHAR5BHRTJY2326}

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	2026-07-05T06:32:58.561845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f06313aad2b6c603823d09e334e35bd7a4ddb8d4858037395b18a0de08e63cc4

Aliases

arxiv: 2307.10425 · arxiv_version: 2307.10425v1 · doi: 10.48550/arxiv.2307.10425 · pith_short_12: 6BRRHKWSW3DA · pith_short_16: 6BRRHKWSW3DAHAR5 · pith_short_8: 6BRRHKWS

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/6BRRHKWSW3DAHAR5BHRTJY2326 \
  | 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: f06313aad2b6c603823d09e334e35bd7a4ddb8d4858037395b18a0de08e63cc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fafd2c951aebfe6da921c394cfdf103625e06cfc95d9b27e9de3415a841b5148",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-19T19:24:01Z",
    "title_canon_sha256": "db0d6892a7430a179e343d1d061ab9fd9ece785876dc58796af2c3746e0131c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.10425",
    "kind": "arxiv",
    "version": 1
  }
}