Pith Number

pith:JQM6FWGY

pith:2014:JQM6FWGYY6WJL5K3V43N7OCLLQ

not attested not anchored not stored refs pending

One-dimensional wave equations defined by fractal Laplacians

Alexander Teplyaev, John Fun-Choi Chan, Sze-Man Ngai

arxiv:1406.0207 v1 · 2014-06-01 · math-ph · math.AP · math.CA · math.FA · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQM6FWGYY6WJL5K3V43N7OCLLQ}

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	2026-05-18T00:12:11.762404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c19e2d8d8c7ac95f55baf36dfb84b5c2b883976018fd4750e2f4e9dd26c1b1b

Aliases

arxiv: 1406.0207 · arxiv_version: 1406.0207v1 · doi: 10.48550/arxiv.1406.0207 · pith_short_12: JQM6FWGYY6WJ · pith_short_16: JQM6FWGYY6WJL5K3 · pith_short_8: JQM6FWGY

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/JQM6FWGYY6WJL5K3V43N7OCLLQ \
  | 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: 4c19e2d8d8c7ac95f55baf36dfb84b5c2b883976018fd4750e2f4e9dd26c1b1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ca2b5550ccb3dfda21c684bced7877e37a9336321d63128782c6ef0ff491d51",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.FA",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-01T21:17:26Z",
    "title_canon_sha256": "8ba0543570e647c47cc0808694f0ec916cb2f228c14ab5eda7250bd27c14eb91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0207",
    "kind": "arxiv",
    "version": 1
  }
}