Pith Number

pith:7KD7QD26

pith:2006:7KD7QD26JSJV3JRRAI5XD5TCHR

not attested not anchored not stored refs pending

Affine actions of a free semigroup on the real line

Michal Misiurewicz, Samuel Senti, Vitaly Bergelson

arxiv:math/0601473 v1 · 2006-01-19 · 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{7KD7QD26JSJV3JRRAI5XD5TCHR}

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	2026-05-18T02:56:33.149982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa87f80f5e4c935da631023b71f6623c524236bfa7ec2307689e7af0a19035d7

Aliases

arxiv: math/0601473 · arxiv_version: math/0601473v1 · doi: 10.48550/arxiv.math/0601473 · pith_short_12: 7KD7QD26JSJV · pith_short_16: 7KD7QD26JSJV3JRR · pith_short_8: 7KD7QD26

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/7KD7QD26JSJV3JRRAI5XD5TCHR \
  | 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: fa87f80f5e4c935da631023b71f6623c524236bfa7ec2307689e7af0a19035d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d4bec70273c9fc0087d45e4f6bf962e3198df0d4354176b4d4cec81b60bb47",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-01-19T14:45:40Z",
    "title_canon_sha256": "58126b16ceba094783714bfad0be7ba59cfc1fc4df2e9500bb89462f2367925f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601473",
    "kind": "arxiv",
    "version": 1
  }
}