Pith Number

pith:CZMY5BUS

pith:2013:CZMY5BUS5U3P3UJHEARXBVCNNR

not attested not anchored not stored refs pending

Simultaneous dense and nondense orbits for commuting maps

Jimmy Tseng, Manfred Einsiedler, Vitaly Bergelson

arxiv:1309.4823 v2 · 2013-09-18 · 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{CZMY5BUS5U3P3UJHEARXBVCNNR}

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	2026-05-18T02:51:25.283643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16598e8692ed36fdd127202370d44d6c66288b62ac0c6414adac5c93c0330f57

Aliases

arxiv: 1309.4823 · arxiv_version: 1309.4823v2 · doi: 10.48550/arxiv.1309.4823 · pith_short_12: CZMY5BUS5U3P · pith_short_16: CZMY5BUS5U3P3UJH · pith_short_8: CZMY5BUS

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/CZMY5BUS5U3P3UJHEARXBVCNNR \
  | 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: 16598e8692ed36fdd127202370d44d6c66288b62ac0c6414adac5c93c0330f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1ced4e1b0686c44229428a910536a7668e33dd3e031eccf5a8b91c305666892",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-18T23:39:28Z",
    "title_canon_sha256": "905a9d0d34f6fece8f7b18c296e2cb9f70ab66ee7dc582120bbb74fd79a08b41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4823",
    "kind": "arxiv",
    "version": 2
  }
}