Pith Number

pith:YHZH5PKL

pith:2011:YHZH5PKLDSCO57MTQZSZZN6HHS

not attested not anchored not stored refs pending

Covering relations for coupled map networks

Leonid Bunimovich, Ming-Chia Li, Ming-Jiea Lyu

arxiv:1109.1931 v1 · 2011-09-09 · 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{YHZH5PKLDSCO57MTQZSZZN6HHS}

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	2026-05-18T04:13:46.474553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1f27ebd4b1c84eefd9386659cb7c73ca47ad4d63357f3f659bc8e79ff58be84

Aliases

arxiv: 1109.1931 · arxiv_version: 1109.1931v1 · doi: 10.48550/arxiv.1109.1931 · pith_short_12: YHZH5PKLDSCO · pith_short_16: YHZH5PKLDSCO57MT · pith_short_8: YHZH5PKL

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/YHZH5PKLDSCO57MTQZSZZN6HHS \
  | 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: c1f27ebd4b1c84eefd9386659cb7c73ca47ad4d63357f3f659bc8e79ff58be84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "508bba37e77ae3aa2e304f2f480ad06502806b7d70c6a55c2e5fc8e06c4eb779",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-09T08:12:49Z",
    "title_canon_sha256": "238f80772fa323ab28c3a3d1141b25f865121c5d363fcbd85a705a17635b3a88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1931",
    "kind": "arxiv",
    "version": 1
  }
}