Pith Number

pith:X5VM4JYJ

pith:2018:X5VM4JYJJYKRUJFORLIQ6GQQFE

not attested not anchored not stored refs pending

Transition from the wave equation to either the heat or the transport equations through fractional differential expressions

Fernando Olivar-Romero, Oscar Rosas-Ortiz

arxiv:1810.02908 v2 · 2018-10-05 · 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{X5VM4JYJJYKRUJFORLIQ6GQQFE}

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	2026-05-17T23:46:19.334096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6ace27094e151a24ae8ad10f1a10290c78bc4f8e46354ca47687fab4530247

Aliases

arxiv: 1810.02908 · arxiv_version: 1810.02908v2 · doi: 10.48550/arxiv.1810.02908 · pith_short_12: X5VM4JYJJYKR · pith_short_16: X5VM4JYJJYKRUJFO · pith_short_8: X5VM4JYJ

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/X5VM4JYJJYKRUJFORLIQ6GQQFE \
  | 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: bf6ace27094e151a24ae8ad10f1a10290c78bc4f8e46354ca47687fab4530247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc0cc40dce2346b77f5c5072c0c7e81315d7392628c8a7729bb9102762f10b15",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-10-05T23:27:17Z",
    "title_canon_sha256": "3815110db2cb0a68d51762514126074481d3a4ab9218bd4cff5f91d5538e5478"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02908",
    "kind": "arxiv",
    "version": 2
  }
}