Pith Number

pith:54SBGSWF

pith:2016:54SBGSWFJQR7PKCL6PSS5LRGKA

not attested not anchored not stored refs pending

On the Weber integral equation and solution to the Weber-Titchmarsh problem

Semyon Yakubovich

arxiv:1612.05455 v1 · 2016-12-16 · 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{54SBGSWFJQR7PKCL6PSS5LRGKA}

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	2026-05-18T00:54:51.740486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef24134ac54c23f7a84bf3e52eae265019b6228d173ff4071bdb90f23c7cfd14

Aliases

arxiv: 1612.05455 · arxiv_version: 1612.05455v1 · doi: 10.48550/arxiv.1612.05455 · pith_short_12: 54SBGSWFJQR7 · pith_short_16: 54SBGSWFJQR7PKCL · pith_short_8: 54SBGSWF

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/54SBGSWFJQR7PKCL6PSS5LRGKA \
  | 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: ef24134ac54c23f7a84bf3e52eae265019b6228d173ff4071bdb90f23c7cfd14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4da1802348711ebffb550fd6ad261888dd7c3a69f90b8c3496b38d705a02f57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-16T13:15:53Z",
    "title_canon_sha256": "825dba823679b362b0fd20311d3111f48edb3f13230ef75699dc94de3999b8a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05455",
    "kind": "arxiv",
    "version": 1
  }
}