Pith Number

pith:5BHAYAKB

pith:2015:5BHAYAKBBOMSEFRCUVPBMY5UBG

not attested not anchored not stored refs pending

Gap Eigenvalues and Asymptotic Dynamics of Geometric Wave Equations on Hyperbolic Space

Andrew Lawrie, Sohrab Shahshahani, Sung-Jin Oh

arxiv:1502.00697 v1 · 2015-02-03 · math.AP · math.CA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BHAYAKBBOMSEFRCUVPBMY5UBG}

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	2026-05-18T02:28:04.577175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84e0c01410b99221622a55e1663b409a5ca6eec369d61843f81c72153c42ab5

Aliases

arxiv: 1502.00697 · arxiv_version: 1502.00697v1 · doi: 10.48550/arxiv.1502.00697 · pith_short_12: 5BHAYAKBBOMS · pith_short_16: 5BHAYAKBBOMSEFRC · pith_short_8: 5BHAYAKB

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/5BHAYAKBBOMSEFRCUVPBMY5UBG \
  | 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: e84e0c01410b99221622a55e1663b409a5ca6eec369d61843f81c72153c42ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57380ce082f3a6288acbd04ff0ca41f0d3aaf98ab6688ddf4012dae53311848c",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-03T01:04:17Z",
    "title_canon_sha256": "3d3f9694b42536a92a958e6656c04165ca1e3fa84e6ec5f51830dc78fcde40ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00697",
    "kind": "arxiv",
    "version": 1
  }
}