Pith Number

pith:YCTYXCOX

pith:2007:YCTYXCOXFPXM35ZGHNQBHT42JN

not attested not anchored not stored refs pending

Inversely Unstable Solutions of Two-Dimensional Systems on Genus-p Surfaces and the Topology of Knotted Attractors

Stephen P. Banks (Automatic Control & Systems Engineering, UK), University of Sheffield, Yi Song

arxiv:0706.2397 v1 · 2007-06-16 · 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{YCTYXCOXFPXM35ZGHNQBHT42JN}

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	2026-05-18T02:16:30.076110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a78b89d72beecdf7263b6013cf9a4b56e29a99ff932fcabbafed8f59e4fcdd

Aliases

arxiv: 0706.2397 · arxiv_version: 0706.2397v1 · doi: 10.48550/arxiv.0706.2397 · pith_short_12: YCTYXCOXFPXM · pith_short_16: YCTYXCOXFPXM35ZG · pith_short_8: YCTYXCOX

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/YCTYXCOXFPXM35ZGHNQBHT42JN \
  | 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: c0a78b89d72beecdf7263b6013cf9a4b56e29a99ff932fcabbafed8f59e4fcdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4064e90ce3db0b86a46a3daff6fb964955e5f9447924aa910fc0a8fe5f0a0e6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-06-16T03:54:29Z",
    "title_canon_sha256": "84eb263c7349e4183c75ec9b5d75bf05645673417a30af82b056343e3d1216e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2397",
    "kind": "arxiv",
    "version": 1
  }
}