Pith Number

pith:WDEMWGN5

pith:2019:WDEMWGN5GAN44DKDG43ZQNZ3EF

not attested not anchored not stored refs pending

Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables

Tuhtasin Ergashev

arxiv:1908.07158 v1 · 2019-08-20 · 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{WDEMWGN5GAN44DKDG43ZQNZ3EF}

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	2026-07-04T23:58:31.502129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0c8cb19bd301bce0d43373798373b216e3a18253a579c5d47836fc5eb017c3d

Aliases

arxiv: 1908.07158 · arxiv_version: 1908.07158v1 · doi: 10.48550/arxiv.1908.07158 · pith_short_12: WDEMWGN5GAN4 · pith_short_16: WDEMWGN5GAN44DKD · pith_short_8: WDEMWGN5

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/WDEMWGN5GAN44DKDG43ZQNZ3EF \
  | 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: b0c8cb19bd301bce0d43373798373b216e3a18253a579c5d47836fc5eb017c3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f1e71b52a0cd1c5717cd285714ec494ffc5e48e6e874f965d226ffe5c39d0ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-20T04:16:56Z",
    "title_canon_sha256": "0de102090e2420e92d9fb4307bd428b035060e38656c27eb798c69bd33e8268d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07158",
    "kind": "arxiv",
    "version": 1
  }
}