Pith Number

pith:XHYCVQTA

pith:2017:XHYCVQTAKFB7T33RJCDYLYPRAX

not attested not anchored not stored refs pending

Wave equation for operators with discrete spectrum and irregular propagation speed

Michael Ruzhansky, Niyaz Tokmagambetov

arxiv:1705.01418 v1 · 2017-05-03 · math.AP · 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{XHYCVQTAKFB7T33RJCDYLYPRAX}

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	2026-05-18T00:32:50.780615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f02ac2605143f9ef71488785e1f105faa65d9dc8ea489d5a65081572f19ae3

Aliases

arxiv: 1705.01418 · arxiv_version: 1705.01418v1 · doi: 10.48550/arxiv.1705.01418 · pith_short_12: XHYCVQTAKFB7 · pith_short_16: XHYCVQTAKFB7T33R · pith_short_8: XHYCVQTA

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/XHYCVQTAKFB7T33RJCDYLYPRAX \
  | 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: b9f02ac2605143f9ef71488785e1f105faa65d9dc8ea489d5a65081572f19ae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21644b3f7a46baf53564ee20669f4e420a305844af56a58263a1bc92fd22f888",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-03T13:29:18Z",
    "title_canon_sha256": "86dbef0eeec85b278c47c886eceba8c43cba4bb0b754cd761304a9aca25e7502"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01418",
    "kind": "arxiv",
    "version": 1
  }
}