Pith Number

pith:WHQDTCBA

pith:2009:WHQDTCBAFNWFA3GK56AHVQRFO3

not attested not anchored not stored refs pending

Spectral multiplicities for infinite measure preserving transformations

Alexandre I. Danilenko, Valery V. Ryzhikov

arxiv:0905.3486 v2 · 2009-05-21 · math.DS · 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{WHQDTCBAFNWFA3GK56AHVQRFO3}

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	2026-05-18T04:41:44.125420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e03988202b6c506ccaef807ac22576defbf74ad2f37aa9007dba3e46e46ef2

Aliases

arxiv: 0905.3486 · arxiv_version: 0905.3486v2 · doi: 10.48550/arxiv.0905.3486 · pith_short_12: WHQDTCBAFNWF · pith_short_16: WHQDTCBAFNWFA3GK · pith_short_8: WHQDTCBA

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/WHQDTCBAFNWFA3GK56AHVQRFO3 \
  | 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: b1e03988202b6c506ccaef807ac22576defbf74ad2f37aa9007dba3e46e46ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c61c4dc137a778aedafe1059527524ac3232cc868dea86279655cee86a9614",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-05-21T13:12:00Z",
    "title_canon_sha256": "5491b47b608cfa3fa190c76f3934124f4e4f450bfc74d8e078321edb2c240c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3486",
    "kind": "arxiv",
    "version": 2
  }
}