Pith Number

pith:GT55OLP2

pith:2016:GT55OLP2J5L5T2LRP5O5EZWIHX

not attested not anchored not stored refs pending

Jacobi weights, fractional integration, and sharp Ulyanov inequalities

Polina Glazyrina, Sergey Tikhonov

arxiv:1601.00814 v1 · 2016-01-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GT55OLP2J5L5T2LRP5O5EZWIHX}

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	2026-05-18T01:23:21.678975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34fbd72dfa4f57d9e9717f5dd266c83dd724b6f6d0968ed55456d162a68b60fa

Aliases

arxiv: 1601.00814 · arxiv_version: 1601.00814v1 · doi: 10.48550/arxiv.1601.00814 · pith_short_12: GT55OLP2J5L5 · pith_short_16: GT55OLP2J5L5T2LR · pith_short_8: GT55OLP2

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/GT55OLP2J5L5T2LRP5O5EZWIHX \
  | 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: 34fbd72dfa4f57d9e9717f5dd266c83dd724b6f6d0968ed55456d162a68b60fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f590215df267f7d31f380b49c465d05f73bd731845e5c8c0dafd12dc8c217c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-01-05T12:50:00Z",
    "title_canon_sha256": "8e37459aa58631bc7edba272e5385cf71c68c32745b3ccc7e89485d23bc65081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00814",
    "kind": "arxiv",
    "version": 1
  }
}