Pith Number

pith:ENCUYKCM

pith:2007:ENCUYKCMSGTZR6RP7KNAKWCTDC

not attested not anchored not stored refs pending

Transcritical bifurcations in non-integrable Hamiltonian systems

Kaori Tanaka, Matthias Brack

arxiv:0705.0753 v4 · 2007-05-05 · nlin.CD · 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{ENCUYKCMSGTZR6RP7KNAKWCTDC}

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	2026-07-04T15:10:47.829060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23454c284c91a798fa2ffa9a055853189f23791759a18b99188fd0f98bc93505

Aliases

arxiv: 0705.0753 · arxiv_version: 0705.0753v4 · doi: 10.48550/arxiv.0705.0753 · pith_short_12: ENCUYKCMSGTZ · pith_short_16: ENCUYKCMSGTZR6RP · pith_short_8: ENCUYKCM

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/ENCUYKCMSGTZR6RP7KNAKWCTDC \
  | 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: 23454c284c91a798fa2ffa9a055853189f23791759a18b99188fd0f98bc93505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2857d29bba1884ff594cac77d906729ec35e20518655768f7d045aeaf0a552d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2007-05-05T16:52:59Z",
    "title_canon_sha256": "3c6bd588c71e894f910ecb1b57596171ba0e1b43ec7f504b86324a9b483e8aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0753",
    "kind": "arxiv",
    "version": 4
  }
}