Pith Number

pith:UQ3F6ST4

pith:2013:UQ3F6ST4BGHFOFXYIIEVKO3VG4

not attested not anchored not stored refs pending

Uniformity and self-neglecting functions: II. Beurling Regular Variation and the class {\Gamma}

A. J. Ostaszewski, N. H. Bingham

arxiv:1307.5305 v1 · 2013-07-19 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UQ3F6ST4BGHFOFXYIIEVKO3VG4}

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	2026-05-18T03:17:57.930753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4365f4a7c098e5716f84209553b75373990f57f264e83831f8e5bcb3c37f20b

Aliases

arxiv: 1307.5305 · arxiv_version: 1307.5305v1 · doi: 10.48550/arxiv.1307.5305 · pith_short_12: UQ3F6ST4BGHF · pith_short_16: UQ3F6ST4BGHFOFXY · pith_short_8: UQ3F6ST4

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/UQ3F6ST4BGHFOFXYIIEVKO3VG4 \
  | 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: a4365f4a7c098e5716f84209553b75373990f57f264e83831f8e5bcb3c37f20b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a40324a2e0a8d45e0064a5a4fdc7210326c0aeffbb800273f7c33165fd1ac501",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-19T18:49:16Z",
    "title_canon_sha256": "0a9fa368d53d4de36384d7af0a976c3ed8e6451114c3aa3445755833d3773393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5305",
    "kind": "arxiv",
    "version": 1
  }
}