Pith Number

pith:KESER2LR

pith:2025:KESER2LRLC4FO5V6NYAQFEGY6B

not attested not anchored not stored refs pending

VC-dimension of subsets of Hamming graphs

Christopher Housholder, Layna Mangiapanello, Steven Senger

arxiv:2505.14641 v1 · 2025-05-20 · 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{KESER2LRLC4FO5V6NYAQFEGY6B}

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	2026-07-05T11:06:16.921414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

512448e97158b85776be6e010290d8f06515e4a801a12ab95d6c1077b34fbfc8

Aliases

arxiv: 2505.14641 · arxiv_version: 2505.14641v1 · doi: 10.48550/arxiv.2505.14641 · pith_short_12: KESER2LRLC4F · pith_short_16: KESER2LRLC4FO5V6 · pith_short_8: KESER2LR

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/KESER2LRLC4FO5V6NYAQFEGY6B \
  | 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: 512448e97158b85776be6e010290d8f06515e4a801a12ab95d6c1077b34fbfc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89b6d84482d5ee954640cd2c81d5b0954dc4600355325909e174394cdb572968",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-20T17:27:53Z",
    "title_canon_sha256": "1d5294511fed61773f45849c86b500ab53f9c55305692b65d11f6492214f8625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.14641",
    "kind": "arxiv",
    "version": 1
  }
}