Pith Number

pith:PG4XL2K6

pith:2015:PG4XL2K6TIP4Y5QWJPYRN2CFZ7

not attested not anchored not stored refs pending

Singularity confinement and chaos in two-dimensional discrete systems

Masataka Kanki, Takafumi Mase, Tetsuji Tokihiro

arxiv:1512.09168 v4 · 2015-12-30 · nlin.SI · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PG4XL2K6TIP4Y5QWJPYRN2CFZ7}

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	2026-05-18T01:14:01.152903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b975e95e9a1fcc76164bf116e845cfc7f531bd1ec86b3c01fe925ed71270de

Aliases

arxiv: 1512.09168 · arxiv_version: 1512.09168v4 · doi: 10.48550/arxiv.1512.09168 · pith_short_12: PG4XL2K6TIP4 · pith_short_16: PG4XL2K6TIP4Y5QW · pith_short_8: PG4XL2K6

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/PG4XL2K6TIP4Y5QWJPYRN2CFZ7 \
  | 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: 79b975e95e9a1fcc76164bf116e845cfc7f531bd1ec86b3c01fe925ed71270de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "836641cfb2273f1183b13230b48b092eccd28c9af5e1d93d7fa404ece89e324f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2015-12-30T22:20:27Z",
    "title_canon_sha256": "6a576dda213ddcd39a56cf5a72a29e6a22a510fa99ca64b7c87e46e697256b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09168",
    "kind": "arxiv",
    "version": 4
  }
}