Pith Number

pith:NAQUXZUM

pith:2018:NAQUXZUM3MNPYBV4UKSHYBVWXU

not attested not anchored not stored refs pending

A Diagrammatic Representation of Phase Portraits and Bifurcation Diagrams of Two-Dimensional Dynamical Systems

Gabriel B. Mindlin, Javier Roulet

arxiv:1806.10640 v1 · 2018-06-27 · 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{NAQUXZUM3MNPYBV4UKSHYBVWXU}

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	2026-05-18T00:12:08.368753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68214be68cdb1afc06bca2a47c06b6bd39cd6c265bf04c40584e203e5ad193d6

Aliases

arxiv: 1806.10640 · arxiv_version: 1806.10640v1 · doi: 10.48550/arxiv.1806.10640 · pith_short_12: NAQUXZUM3MNP · pith_short_16: NAQUXZUM3MNPYBV4 · pith_short_8: NAQUXZUM

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/NAQUXZUM3MNPYBV4UKSHYBVWXU \
  | 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: 68214be68cdb1afc06bca2a47c06b6bd39cd6c265bf04c40584e203e5ad193d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f521e17bc8b0daa97cddddba205d8bd1601faffa1a33f96d0c19a7dfccdb0af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2018-06-27T18:41:30Z",
    "title_canon_sha256": "cf0397b8e0f739206eed3add727fe63e035ee0035c9417a6e293cd0d44ba807d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.10640",
    "kind": "arxiv",
    "version": 1
  }
}