Pith Number

pith:BMRKHA4L

pith:2010:BMRKHA4LQM7NL5ZHXILFCBAXXA

not attested not anchored not stored refs pending

Frequency locking of modulated waves

Alexey Teplinsky, Anatoly Samoilenko, Lutz Recke, Serhiy Yanchuk, Viktor Tkachenko

arxiv:1006.5518 v1 · 2010-06-29 · math.DS · math.CA · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMRKHA4LQM7NL5ZHXILFCBAXXA}

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	2026-05-18T03:56:34.225064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b22a3838b833ed5f727ba16510417b83f39902f0692d6596e1e2feb0a7d146f

Aliases

arxiv: 1006.5518 · arxiv_version: 1006.5518v1 · doi: 10.48550/arxiv.1006.5518 · pith_short_12: BMRKHA4LQM7N · pith_short_16: BMRKHA4LQM7NL5ZH · pith_short_8: BMRKHA4L

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/BMRKHA4LQM7NL5ZHXILFCBAXXA \
  | 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: 0b22a3838b833ed5f727ba16510417b83f39902f0692d6596e1e2feb0a7d146f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eef6f7198d82cdc0a29451d9e73b9b21d14f141ee1f41d81509d5a257045109c",
    "cross_cats_sorted": [
      "math.CA",
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-06-29T07:21:59Z",
    "title_canon_sha256": "f4c345ba35412c03f1d3527f6327f500586156c95c92eac5dd22538e5109e3e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5518",
    "kind": "arxiv",
    "version": 1
  }
}