Pith Number

pith:NHODRD73

pith:2017:NHODRD73GEKEOQXOLZL2TQ4I2I

not attested not anchored not stored refs pending

Hopf bifurcation with additive noise

Jeroen S.W. Lamb, Martin Rasmussen, Maximilian Engel, Thai Son Doan

arxiv:1710.09649 v1 · 2017-10-26 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHODRD73GEKEOQXOLZL2TQ4I2I}

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	2026-05-18T00:06:41.252960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69dc388ffb31144742ee5e57a9c388d23b44b955ada001e5544f601e30c626f1

Aliases

arxiv: 1710.09649 · arxiv_version: 1710.09649v1 · doi: 10.48550/arxiv.1710.09649 · pith_short_12: NHODRD73GEKE · pith_short_16: NHODRD73GEKEOQXO · pith_short_8: NHODRD73

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/NHODRD73GEKEOQXOLZL2TQ4I2I \
  | 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: 69dc388ffb31144742ee5e57a9c388d23b44b955ada001e5544f601e30c626f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c1402fb50f49d299c7a3379b9b51be834686f818d8b3865d4516e47a48f114",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-10-26T11:41:22Z",
    "title_canon_sha256": "f08c8255495625839c7d1d6d45f8846440a78425420c5434a9ba9dcfa3e66452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09649",
    "kind": "arxiv",
    "version": 1
  }
}