Pith Number

pith:UE7DRVVJ

pith:2015:UE7DRVVJPN5VXQLRLKPI3ZCJX5

not attested not anchored not stored refs pending

New index transforms of the Lebedev- Skalskaya type

Semyon Yakubovich

arxiv:1509.02764 v2 · 2015-09-09 · 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{UE7DRVVJPN5VXQLRLKPI3ZCJX5}

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	2026-05-18T01:33:26.065199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13e38d6a97b7b5bc1715a9e8de449bf590df493d5c8971c111268ff5042579d

Aliases

arxiv: 1509.02764 · arxiv_version: 1509.02764v2 · doi: 10.48550/arxiv.1509.02764 · pith_short_12: UE7DRVVJPN5V · pith_short_16: UE7DRVVJPN5VXQLR · pith_short_8: UE7DRVVJ

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/UE7DRVVJPN5VXQLRLKPI3ZCJX5 \
  | 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: a13e38d6a97b7b5bc1715a9e8de449bf590df493d5c8971c111268ff5042579d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac980f235193622e3929e103bc19308d1e85b572d7f50b239ec2826d30b5753",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-09-09T13:09:39Z",
    "title_canon_sha256": "891e8181c3ff5f17ad887881b41bcfd1cce5f3a070bee682805069ede84425f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02764",
    "kind": "arxiv",
    "version": 2
  }
}