Pith Number

pith:UJV66RK4

pith:2013:UJV66RK43OAATN3CZJJDDVMMWJ

not attested not anchored not stored refs pending

Dynamical Embedding in Cubical Shifts & the Topological Rokhlin and Small Boundary Properties

Yonatan Gutman

arxiv:1301.6072 v4 · 2013-01-25 · 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{UJV66RK43OAATN3CZJJDDVMMWJ}

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	2026-05-18T03:06:42.974782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a26bef455cdb8009b762ca5231d58cb27d36ca5a149ba972fb5c9ed121ec4ebf

Aliases

arxiv: 1301.6072 · arxiv_version: 1301.6072v4 · doi: 10.48550/arxiv.1301.6072 · pith_short_12: UJV66RK43OAA · pith_short_16: UJV66RK43OAATN3C · pith_short_8: UJV66RK4

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/UJV66RK43OAATN3CZJJDDVMMWJ \
  | 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: a26bef455cdb8009b762ca5231d58cb27d36ca5a149ba972fb5c9ed121ec4ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fff56f92a50a813412a474ab23fd00fddf7248ddf2dea0596d390e46e00c845d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-01-25T15:43:31Z",
    "title_canon_sha256": "2e7c54a62d3ecb6b8f447cec33c72bb2be5d5c50493f840300ad00895a9c2a23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6072",
    "kind": "arxiv",
    "version": 4
  }
}