Pith Number

pith:KTDBV75Q

pith:2010:KTDBV75QNUGHDNMVG4UPDTAQBP

not attested not anchored not stored refs pending

Scaling entropy and automorphisms with purely point spectrum

A.Vershik

arxiv:1008.4946 v4 · 2010-08-29 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTDBV75QNUGHDNMVG4UPDTAQBP}

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	2026-05-18T04:28:20.084235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54c61affb06d0c71b5953728f1cc100be24a3b2ed5a3aa29361f34be4657dee0

Aliases

arxiv: 1008.4946 · arxiv_version: 1008.4946v4 · doi: 10.48550/arxiv.1008.4946 · pith_short_12: KTDBV75QNUGH · pith_short_16: KTDBV75QNUGHDNMV · pith_short_8: KTDBV75Q

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/KTDBV75QNUGHDNMVG4UPDTAQBP \
  | 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: 54c61affb06d0c71b5953728f1cc100be24a3b2ed5a3aa29361f34be4657dee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13d90fd8230a5e41553f9cd14e1219971a607e66012ae096625c7d352755e9c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-08-29T18:05:19Z",
    "title_canon_sha256": "9cc9a6c71dbe0bd59249b54ed2d8daaa4201f5b886c666599db4212695e0b8c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4946",
    "kind": "arxiv",
    "version": 4
  }
}