Pith Number

pith:R5WOOIVZ

pith:2016:R5WOOIVZYWO6WU7YCB2BRDIUOQ

not attested not anchored not stored refs pending

Wave equation for 2D Landau Hamiltonian

Michael Ruzhansky, Niyaz Tokmagambetov

arxiv:1610.02349 v2 · 2016-10-07 · math-ph · math.AP · math.FA · 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{R5WOOIVZYWO6WU7YCB2BRDIUOQ}

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	2026-05-18T01:02:49.674270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f6ce722b9c59deb53f81074188d1474179f6c42c52dfd7e9223893ce7e57faf

Aliases

arxiv: 1610.02349 · arxiv_version: 1610.02349v2 · doi: 10.48550/arxiv.1610.02349 · pith_short_12: R5WOOIVZYWO6 · pith_short_16: R5WOOIVZYWO6WU7Y · pith_short_8: R5WOOIVZ

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/R5WOOIVZYWO6WU7YCB2BRDIUOQ \
  | 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: 8f6ce722b9c59deb53f81074188d1474179f6c42c52dfd7e9223893ce7e57faf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7afbb65b43ec9a9a838155a35c6eaa54de0b45fca6db87e2944fb2a23cf23c5",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-10-07T17:13:47Z",
    "title_canon_sha256": "3915cdc6a2f177f896ed43d6600a21b7b5e2a041cc58684be79c2afd377f3bbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02349",
    "kind": "arxiv",
    "version": 2
  }
}