Pith Number

pith:VODFYAPP

pith:2015:VODFYAPPSQAKWYTWD6BA3QZOQR

not attested not anchored not stored refs pending

Degenerate behavior in non-hyperbolic semigroup actions on the interval: fast growth of periodic points and universal dynamics

Dmitry Turaev, Katsutoshi Shinohara, Masayuki Asaoka

arxiv:1506.07279 v1 · 2015-06-24 · 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{VODFYAPPSQAKWYTWD6BA3QZOQR}

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	2026-05-18T01:39:54.399123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab865c01ef9400ab62761f820dc32e8477ae473981a646b7aa871146dc231190

Aliases

arxiv: 1506.07279 · arxiv_version: 1506.07279v1 · doi: 10.48550/arxiv.1506.07279 · pith_short_12: VODFYAPPSQAK · pith_short_16: VODFYAPPSQAKWYTW · pith_short_8: VODFYAPP

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/VODFYAPPSQAKWYTWD6BA3QZOQR \
  | 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: ab865c01ef9400ab62761f820dc32e8477ae473981a646b7aa871146dc231190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94f943bd3f79f1d69a98eb4fb98a19aec7b6228a1b1d57cdfe03317e698d20c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-24T08:13:03Z",
    "title_canon_sha256": "1cf95a7d387e81e4478b2829114bea5f0638197998e720ef8cd9e4f0184f1e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07279",
    "kind": "arxiv",
    "version": 1
  }
}