Pith Number

pith:PMY4IGXU

pith:2015:PMY4IGXUF23L2ZULJU7FLJSAOC

not attested not anchored not stored refs pending

Uniform bounds for period integrals and sparse equidistribution

James Tanis, Pankaj Vishe

arxiv:1501.05228 v1 · 2015-01-21 · 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{PMY4IGXUF23L2ZULJU7FLJSAOC}

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	2026-05-18T02:28:55.704122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b31c41af42eb6bd668b4d3e55a640709e77e688542cddd9ae6c1fb5a256f6b4

Aliases

arxiv: 1501.05228 · arxiv_version: 1501.05228v1 · doi: 10.48550/arxiv.1501.05228 · pith_short_12: PMY4IGXUF23L · pith_short_16: PMY4IGXUF23L2ZUL · pith_short_8: PMY4IGXU

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/PMY4IGXUF23L2ZULJU7FLJSAOC \
  | 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: 7b31c41af42eb6bd668b4d3e55a640709e77e688542cddd9ae6c1fb5a256f6b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013142cdcfa9ec50a5758fed1f2c633417f6e2053363efdcb0835c0d21b08805",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-01-21T16:55:15Z",
    "title_canon_sha256": "500207d12cd703a3b9e3124efda4944b92520d841c46948c673ad0abf323358a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05228",
    "kind": "arxiv",
    "version": 1
  }
}