Pith Number

pith:7PPMXVRF

pith:2016:7PPMXVRFXFFGKF5JA5BJPHTJ7O

not attested not anchored not stored refs pending

The Infinitesimal Phase Response Curves of Oscillators in Piecewise Smooth Dynamical Systems

Hillel J. Chiel, Kendrick M. Shaw, Peter J. Thomas, Youngmin Park

arxiv:1603.03503 v3 · 2016-03-11 · 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{7PPMXVRFXFFGKF5JA5BJPHTJ7O}

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	2026-05-18T00:18:41.760381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbdecbd625b94a6517a90742979e69fbb2ca498abfd68f7eec7cf3661e5a08d2

Aliases

arxiv: 1603.03503 · arxiv_version: 1603.03503v3 · doi: 10.48550/arxiv.1603.03503 · pith_short_12: 7PPMXVRFXFFG · pith_short_16: 7PPMXVRFXFFGKF5J · pith_short_8: 7PPMXVRF

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/7PPMXVRFXFFGKF5JA5BJPHTJ7O \
  | 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: fbdecbd625b94a6517a90742979e69fbb2ca498abfd68f7eec7cf3661e5a08d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bca2466f542cd6edbbfaadc6f45698da2b417ed7203483aa25ceedce63f2040c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-03-11T02:26:12Z",
    "title_canon_sha256": "f99d3dc1025bd9f14169c3e90331bc60ea229ae65709da0a26e23692a9cb8aba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03503",
    "kind": "arxiv",
    "version": 3
  }
}