Pith Number

pith:AJ2G4KJ6

pith:2018:AJ2G4KJ6GVICLUSGKKJZCF2OUB

not attested not anchored not stored refs pending

On fundamental solutions for multidimensional Helmholtz equation with three singular coefficients

Tuhtasin Ergashev

arxiv:1804.04363 v2 · 2018-04-12 · 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{AJ2G4KJ6GVICLUSGKKJZCF2OUB}

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	2026-05-18T00:09:47.099363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02746e293e355025d246529391174ea06670a2e65df0f902ab00860866f50722

Aliases

arxiv: 1804.04363 · arxiv_version: 1804.04363v2 · doi: 10.48550/arxiv.1804.04363 · pith_short_12: AJ2G4KJ6GVIC · pith_short_16: AJ2G4KJ6GVICLUSG · pith_short_8: AJ2G4KJ6

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/AJ2G4KJ6GVICLUSGKKJZCF2OUB \
  | 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: 02746e293e355025d246529391174ea06670a2e65df0f902ab00860866f50722

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df7c25d549aa9fb4a93199e68246ef7d8ac008d7471bc233a33d1f273fdf9b26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-12T07:56:56Z",
    "title_canon_sha256": "c9fcc5cac5f3fe279840f57d254fe67c329cb8c764483f9257fb632822b0ec77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04363",
    "kind": "arxiv",
    "version": 2
  }
}