Pith Number

pith:J3KZ3ID2

pith:2016:J3KZ3ID2SUBPP4JJ7E7LT5TMGU

not attested not anchored not stored refs pending

The stability of fixed points on switching manifolds of piecewise-smooth continuous maps

David J.W. Simpson

arxiv:1612.02932 v1 · 2016-12-09 · 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{J3KZ3ID2SUBPP4JJ7E7LT5TMGU}

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	2026-05-18T00:55:27.940100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed59da07a9502f7f129f93eb9f66c351266a0162adb97e6014c96a0a76aafdc

Aliases

arxiv: 1612.02932 · arxiv_version: 1612.02932v1 · doi: 10.48550/arxiv.1612.02932 · pith_short_12: J3KZ3ID2SUBP · pith_short_16: J3KZ3ID2SUBPP4JJ · pith_short_8: J3KZ3ID2

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/J3KZ3ID2SUBPP4JJ7E7LT5TMGU \
  | 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: 4ed59da07a9502f7f129f93eb9f66c351266a0162adb97e6014c96a0a76aafdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9baaa46e11db447e5feb28e3d7f4d7ddc8a12fb8d3adb57e9c2abb5e4d3cad3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-09T07:55:19Z",
    "title_canon_sha256": "0f6f58f987bed9548e39fb09f4853960758a31955aa2c76ad5cd5e7d57caf465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02932",
    "kind": "arxiv",
    "version": 1
  }
}