Pith Number

pith:FP3NGT5F

pith:2016:FP3NGT5FWZV4TENCUPBACZK6LX

not attested not anchored not stored refs pending

A nonlocal fractional Helmholtz equation

Batirkhan K. Turmetov, Berikbol T. Torebek, Mokhtar Kirane

arxiv:1608.02135 v1 · 2016-08-06 · 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{FP3NGT5FWZV4TENCUPBACZK6LX}

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	2026-05-18T00:24:31.766765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf6d34fa5b66bc991a2a3c201655e5dd74f024711e8a41455d415b53a32c338

Aliases

arxiv: 1608.02135 · arxiv_version: 1608.02135v1 · doi: 10.48550/arxiv.1608.02135 · pith_short_12: FP3NGT5FWZV4 · pith_short_16: FP3NGT5FWZV4TENC · pith_short_8: FP3NGT5F

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/FP3NGT5FWZV4TENCUPBACZK6LX \
  | 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: 2bf6d34fa5b66bc991a2a3c201655e5dd74f024711e8a41455d415b53a32c338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "010337e0fa4a32d1c24cbd9d938fb5a9b071b30aa655195cb28928529c49d51d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-06T18:01:17Z",
    "title_canon_sha256": "6c94d5dcf196f49a08ff2d66b951216fb4b882bbf5d35e0d9db2b82d8328d021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02135",
    "kind": "arxiv",
    "version": 1
  }
}