Pith Number

pith:AWZ5F6UK

pith:2026:AWZ5F6UK3PPDC2D752TVZJBI3T

not attested not anchored not stored refs pending

On the asymptotic average diameter of blocks of uniformly distributed sequences and related results

Sebastian Heintze, Wolfgang Trutschnig

arxiv:2605.31515 v1 · 2026-05-29 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWZ5F6UK3PPDC2D752TVZJBI3T}

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	2026-06-01T02:04:10.301426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05b3d2fa8adbde31687feea75ca428dcefc986593ffcf93354a754c06dea645c

Aliases

arxiv: 2605.31515 · arxiv_version: 2605.31515v1 · doi: 10.48550/arxiv.2605.31515 · pith_short_12: AWZ5F6UK3PPD · pith_short_16: AWZ5F6UK3PPDC2D7 · pith_short_8: AWZ5F6UK

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/AWZ5F6UK3PPDC2D752TVZJBI3T \
  | 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: 05b3d2fa8adbde31687feea75ca428dcefc986593ffcf93354a754c06dea645c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb63d31dc342aac73fe611bf22481779457bc109f843efe03d1ac65c010f3cc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-29T16:32:50Z",
    "title_canon_sha256": "59db6c56106abead27b91290f30fdc9db86a4ecc8e88b9cc29d5bd479853d192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31515",
    "kind": "arxiv",
    "version": 1
  }
}