Pith Number

pith:P33LUMYD

pith:2025:P33LUMYDUH77R3GC23RX2NHV2X

not attested not anchored not stored refs pending

On the probability of n equidistant points in high-dimensional lattices

Martin Minchev, Mladen Savov, Stefan Gerdjikov

arxiv:2502.03440 v1 · 2025-02-05 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P33LUMYDUH77R3GC23RX2NHV2X}

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	2026-07-05T10:10:04.883241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef6ba3303a1fff8ecc2d6e37d34f5d5d7fdc7d2cb25ea680f0d1b5c5378ad9f

Aliases

arxiv: 2502.03440 · arxiv_version: 2502.03440v1 · doi: 10.48550/arxiv.2502.03440 · pith_short_12: P33LUMYDUH77 · pith_short_16: P33LUMYDUH77R3GC · pith_short_8: P33LUMYD

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/P33LUMYDUH77R3GC23RX2NHV2X \
  | 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: 7ef6ba3303a1fff8ecc2d6e37d34f5d5d7fdc7d2cb25ea680f0d1b5c5378ad9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "317d2f551d62f1c72eb64786db6f4876470b17d8fd03e0afbf7884e94e61c309",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-02-05T18:35:46Z",
    "title_canon_sha256": "a5e24d36c6e976515e23c0ff2080f7e1edc74c29a24f6da11313b1be2b3da1e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.03440",
    "kind": "arxiv",
    "version": 1
  }
}