Pith Number

pith:7QNEQ67W

pith:2015:7QNEQ67WPLFG6GBGI2JIMH63A2

not attested not anchored not stored refs pending

Quantitative Logarithmic Equidistribution of the Crucial Measures

Kenneth Jacobs

arxiv:1507.03460 v1 · 2015-07-13 · math.DS · 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{7QNEQ67WPLFG6GBGI2JIMH63A2}

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	2026-05-18T01:36:58.774499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc1a487bf67aca6f18264692861fdb0683fa0a28c0c11503f03845411be89106

Aliases

arxiv: 1507.03460 · arxiv_version: 1507.03460v1 · doi: 10.48550/arxiv.1507.03460 · pith_short_12: 7QNEQ67WPLFG · pith_short_16: 7QNEQ67WPLFG6GBG · pith_short_8: 7QNEQ67W

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/7QNEQ67WPLFG6GBGI2JIMH63A2 \
  | 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: fc1a487bf67aca6f18264692861fdb0683fa0a28c0c11503f03845411be89106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdbe156de744d09531ed23f2d8eaf55beab9b0a88bfd5dddaae65a40a1834f1e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-07-13T13:50:06Z",
    "title_canon_sha256": "796cc61521da9bfaae80f9e225e6bfe331b8e587b924c9d429f7ae65c3e942c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03460",
    "kind": "arxiv",
    "version": 1
  }
}