Pith Number

pith:7TZZPIS2

pith:2015:7TZZPIS2ZZSSGKAJAU2SRCVM2A

not attested not anchored not stored refs pending

Topological dynamics of the doubling map with asymmetrical holes

Rafael Alcaraz Barrera

arxiv:1506.00067 v1 · 2015-05-30 · 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{7TZZPIS2ZZSSGKAJAU2SRCVM2A}

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	2026-05-18T01:09:46.768540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcf397a25ace652328090535288aacd01cd7c578c3eeda921027aa7c6d13d6df

Aliases

arxiv: 1506.00067 · arxiv_version: 1506.00067v1 · doi: 10.48550/arxiv.1506.00067 · pith_short_12: 7TZZPIS2ZZSS · pith_short_16: 7TZZPIS2ZZSSGKAJ · pith_short_8: 7TZZPIS2

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/7TZZPIS2ZZSSGKAJAU2SRCVM2A \
  | 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: fcf397a25ace652328090535288aacd01cd7c578c3eeda921027aa7c6d13d6df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12ed22803548b00880562481b7b677fe7f45bec1bae8112da6718f22530d38ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-05-30T03:42:34Z",
    "title_canon_sha256": "44eb0e054d9a25c723f65d7705eae04d891e91aaba586abf0995cb7a3e1b12e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00067",
    "kind": "arxiv",
    "version": 1
  }
}