Pith Number

pith:33N6TM5Q

pith:2014:33N6TM5Q4ITTL7QV3NQHXXJ2ZW

not attested not anchored not stored refs pending

Lyapunov spectrum for H\'enon-like maps at the first bifurcation

Hiroki Takahasi

arxiv:1405.1813 v3 · 2014-05-08 · 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{33N6TM5Q4ITTL7QV3NQHXXJ2ZW}

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	2026-05-18T02:28:13.360409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dedbe9b3b0e22735fe15db607bdd3acd80c2747d7edad44789a8526779a84f23

Aliases

arxiv: 1405.1813 · arxiv_version: 1405.1813v3 · doi: 10.48550/arxiv.1405.1813 · pith_short_12: 33N6TM5Q4ITT · pith_short_16: 33N6TM5Q4ITTL7QV · pith_short_8: 33N6TM5Q

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/33N6TM5Q4ITTL7QV3NQHXXJ2ZW \
  | 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: dedbe9b3b0e22735fe15db607bdd3acd80c2747d7edad44789a8526779a84f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddccb5f03b178f954c1602a70f1c6224b1905ad21893fb0ea09a051e6ca76f84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-08T06:39:08Z",
    "title_canon_sha256": "85a9313c8682475fd559dc91cf6a897b8fb066b71cc12169b286841c0cc9e825"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1813",
    "kind": "arxiv",
    "version": 3
  }
}