Pith Number

pith:OI7HOXOH

pith:2014:OI7HOXOHRNDIPAHRWWLUWE5W3X

not attested not anchored not stored refs pending

Fractional Helmholtz and fractional wave equations with Riesz-Feller and generalized Riemann-Liouville fractional derivatives

Ram K. Saxena, Trifce Sandev, Zivorad Tomovski

arxiv:1406.3722 v1 · 2014-06-14 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OI7HOXOHRNDIPAHRWWLUWE5W3X}

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	2026-05-18T02:45:39.324372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

723e775dc78b468780f1b5974b13b6dddc865657c47c9c7e6baec942a714145c

Aliases

arxiv: 1406.3722 · arxiv_version: 1406.3722v1 · doi: 10.48550/arxiv.1406.3722 · pith_short_12: OI7HOXOHRNDI · pith_short_16: OI7HOXOHRNDIPAHR · pith_short_8: OI7HOXOH

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/OI7HOXOHRNDIPAHRWWLUWE5W3X \
  | 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: 723e775dc78b468780f1b5974b13b6dddc865657c47c9c7e6baec942a714145c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c15226e622b2bca479600c17390498f5ad61d0b28238dde3d26702e1091fcc54",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-14T12:31:35Z",
    "title_canon_sha256": "4287b995a128c6b09df8a359109a3f738927cde09d88d0dd7785fcd5889d7a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3722",
    "kind": "arxiv",
    "version": 1
  }
}