Pith Number

pith:VAVIY2SG

pith:2016:VAVIY2SGPNSOGLS3RIXB6ZVAZ5

not attested not anchored not stored refs pending

Removal of phase transition of the Chebyshev quadratic and thermodynamics of H\'enon-like maps near the first bifurcation

Hiroki Takahasi

arxiv:1603.00591 v1 · 2016-03-02 · math.DS · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAVIY2SGPNSOGLS3RIXB6ZVAZ5}

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	2026-05-18T01:02:44.960437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a82a8c6a467b64e32e5b8a2e1f66a0cf5277c59dcde7ef54d22ef9dec4973465

Aliases

arxiv: 1603.00591 · arxiv_version: 1603.00591v1 · doi: 10.48550/arxiv.1603.00591 · pith_short_12: VAVIY2SGPNSO · pith_short_16: VAVIY2SGPNSOGLS3 · pith_short_8: VAVIY2SG

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/VAVIY2SGPNSOGLS3RIXB6ZVAZ5 \
  | 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: a82a8c6a467b64e32e5b8a2e1f66a0cf5277c59dcde7ef54d22ef9dec4973465

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba3f9d0738e03150439e816afed944cf1161c385b5267017361158c6bfe8afcb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-02T06:29:46Z",
    "title_canon_sha256": "281aa52ff0ed236628587c0fd554e765bb554f3c131cd62e5faab0c005e20896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00591",
    "kind": "arxiv",
    "version": 1
  }
}