Pith Number

pith:D45SS55U

pith:2026:D45SS55UFNRMAAHT7VG4OPUIUA

not attested not anchored not stored refs pending

A criterion for weighted uniform distribution along functions from a Hardy field

Michael Reilly

arxiv:2606.08040 v1 · 2026-06-06 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D45SS55UFNRMAAHT7VG4OPUIUA}

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	2026-06-09T01:05:24.028228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f3b2977b42b62c000f3fd4dc73e88a0205d82c4e258128f9009c98abdab826a

Aliases

arxiv: 2606.08040 · arxiv_version: 2606.08040v1 · doi: 10.48550/arxiv.2606.08040 · pith_short_12: D45SS55UFNRM · pith_short_16: D45SS55UFNRMAAHT · pith_short_8: D45SS55U

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/D45SS55UFNRMAAHT7VG4OPUIUA \
  | 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: 1f3b2977b42b62c000f3fd4dc73e88a0205d82c4e258128f9009c98abdab826a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25ae070f4b253d030009494d7838ae33c33cde084da0aba5744a2635d21533c3",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-06T08:02:27Z",
    "title_canon_sha256": "a01dc8144a15c75cd0d4b24630c2e310f728c030b1290c0e2ce929026ec42dc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08040",
    "kind": "arxiv",
    "version": 1
  }
}