Pith Number

pith:GU4UNFN7

pith:2016:GU4UNFN727NLIG7TOZOHPBON6Y

not attested not anchored not stored refs pending

The structure of mode-locking regions of piecewise-linear continuous maps: II. Skew sawtooth maps

David J.W. Simpson

arxiv:1612.03968 v1 · 2016-12-12 · 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{GU4UNFN727NLIG7TOZOHPBON6Y}

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	2026-05-18T00:55:05.989951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35394695bfd7dab41bf3765c7785cdf61f03a36ec70d5e800d0488f6690fe046

Aliases

arxiv: 1612.03968 · arxiv_version: 1612.03968v1 · doi: 10.48550/arxiv.1612.03968 · pith_short_12: GU4UNFN727NL · pith_short_16: GU4UNFN727NLIG7T · pith_short_8: GU4UNFN7

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/GU4UNFN727NLIG7TOZOHPBON6Y \
  | 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: 35394695bfd7dab41bf3765c7785cdf61f03a36ec70d5e800d0488f6690fe046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68dab088f145728cf0b6ad1de74856212827e245570ad8f1536086777ac08253",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-12T23:26:21Z",
    "title_canon_sha256": "db532f1d9d9e17b9113ac6ac467f3bee938fdbc6b0883d3e8ecfd13f635e3870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03968",
    "kind": "arxiv",
    "version": 1
  }
}