Pith Number

pith:WJ6D2MD6

pith:2006:WJ6D2MD6JRGHRT2EE6D7SHORM7

not attested not anchored not stored refs pending

p-adic entropy and a p-adic Fuglede-Kadison determinant

C. Deninger

arxiv:math/0608539 v2 · 2006-08-22 · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJ6D2MD6JRGHRT2EE6D7SHORM7}

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	2026-05-18T04:08:53.308103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b27c3d307e4c4c78cf442787f91dd167c8a1292787dc083d51c7251229192b46

Aliases

arxiv: math/0608539 · arxiv_version: math/0608539v2 · doi: 10.48550/arxiv.math/0608539 · pith_short_12: WJ6D2MD6JRGH · pith_short_16: WJ6D2MD6JRGHRT2E · pith_short_8: WJ6D2MD6

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/WJ6D2MD6JRGHRT2EE6D7SHORM7 \
  | 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: b27c3d307e4c4c78cf442787f91dd167c8a1292787dc083d51c7251229192b46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b70c3d50648891ee3535e97802db3b1dfd4b8a787cde1a185c20056b8412e249",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-08-22T11:12:32Z",
    "title_canon_sha256": "bfe649b4863929afdf9f66516d02c0eb5ab138acb0e5e47abffa8322e47b3500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608539",
    "kind": "arxiv",
    "version": 2
  }
}