Pith Number

pith:PPJQCW6O

pith:2018:PPJQCW6OO2ZJQNLEXVZPKAIBQ7

not attested not anchored not stored refs pending

The Fourth Double-Layer Potential for a Generalized Bi-Axially Symmetric Helmholtz Equation

Tuhtasin Ergashev

arxiv:1803.01681 v1 · 2018-03-05 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPJQCW6OO2ZJQNLEXVZPKAIBQ7}

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	2026-05-18T00:21:59.845277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bd3015bce76b2983564bd72f5010187c1adfc0f30282a3cf0982d02833de003

Aliases

arxiv: 1803.01681 · arxiv_version: 1803.01681v1 · doi: 10.48550/arxiv.1803.01681 · pith_short_12: PPJQCW6OO2ZJ · pith_short_16: PPJQCW6OO2ZJQNLE · pith_short_8: PPJQCW6O

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/PPJQCW6OO2ZJQNLEXVZPKAIBQ7 \
  | 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: 7bd3015bce76b2983564bd72f5010187c1adfc0f30282a3cf0982d02833de003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d084d481a9bc8eaa5e0afd1f977301ade046009d594a48cdd0dc0d0904426645",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-05T14:40:30Z",
    "title_canon_sha256": "99e62db35d0f9cfdf32226c6d64221c2428257434609bafbe2abc8c40ba8cfa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01681",
    "kind": "arxiv",
    "version": 1
  }
}