Pith Number

pith:T2AFHCFL

pith:2013:T2AFHCFLI2W7RWJ5K34PWPSZTX

not attested not anchored not stored refs pending

Hyperbolicity of renormalization of circle maps with a break-type singularity

Konstantin Khanin, Michael Yampolsky

arxiv:1312.4184 v2 · 2013-12-15 · 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{T2AFHCFLI2W7RWJ5K34PWPSZTX}

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	2026-05-18T02:53:07.628423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e805388ab46adf8d93d56f8fb3e599de75a69a888a339b2e07a73eca934ae51

Aliases

arxiv: 1312.4184 · arxiv_version: 1312.4184v2 · doi: 10.48550/arxiv.1312.4184 · pith_short_12: T2AFHCFLI2W7 · pith_short_16: T2AFHCFLI2W7RWJ5 · pith_short_8: T2AFHCFL

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/T2AFHCFLI2W7RWJ5K34PWPSZTX \
  | 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: 9e805388ab46adf8d93d56f8fb3e599de75a69a888a339b2e07a73eca934ae51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5570a7309ff2525ec947c1d406030074c59b60be87447f0f78778e66c0cb55f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-15T19:55:12Z",
    "title_canon_sha256": "be88d64c14c6ec19d595184a00a9fdfe5830e4245be01d7dad8e55f8b7907680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4184",
    "kind": "arxiv",
    "version": 2
  }
}