Pith Number

pith:DCUEIMTA

pith:2025:DCUEIMTA4RHDMAJFIZ45K656VI

not attested not anchored not stored refs pending

On the Density of Prime Imbalances in the Unit Interval

Paul Alexander Bilokon

arxiv:2506.12063 v1 · 2025-06-01 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DCUEIMTA4RHDMAJFIZ45K656VI}

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	2026-07-05T11:21:16.501350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18a8443260e44e3601254679d57bbeaa329307faaabfba886c1d3c068199a7b4

Aliases

arxiv: 2506.12063 · arxiv_version: 2506.12063v1 · doi: 10.48550/arxiv.2506.12063 · pith_short_12: DCUEIMTA4RHD · pith_short_16: DCUEIMTA4RHDMAJF · pith_short_8: DCUEIMTA

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/DCUEIMTA4RHDMAJFIZ45K656VI \
  | 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: 18a8443260e44e3601254679d57bbeaa329307faaabfba886c1d3c068199a7b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2d720582a176bec2f76a06e4b1d1dfd4d355f984ad532db2d3c1e5855e0f7cb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2025-06-01T08:37:10Z",
    "title_canon_sha256": "dc0cd8a97c7d1b5fa060e50d363357f49be0e9f9d176b48f5f80c13a45d7def0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.12063",
    "kind": "arxiv",
    "version": 1
  }
}