Pith Number

pith:AI3EN4LN

pith:2018:AI3EN4LN3SF74UYD7ZIUM7DPOH

not attested not anchored not stored refs pending

Duck Traps: Two-dimensional Critical Manifolds in Planar Systems

Christian Kuehn, Christian M\"unch

arxiv:1808.10334 v2 · 2018-08-30 · 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{AI3EN4LN3SF74UYD7ZIUM7DPOH}

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	2026-05-18T00:01:37.811136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

023646f16ddc8bfe5303fe51467c6f71fad528273dcc85cc986afcbaff86d086

Aliases

arxiv: 1808.10334 · arxiv_version: 1808.10334v2 · doi: 10.48550/arxiv.1808.10334 · pith_short_12: AI3EN4LN3SF7 · pith_short_16: AI3EN4LN3SF74UYD · pith_short_8: AI3EN4LN

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/AI3EN4LN3SF74UYD7ZIUM7DPOH \
  | 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: 023646f16ddc8bfe5303fe51467c6f71fad528273dcc85cc986afcbaff86d086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b884bb63254eacccf0d9b0e6097c36aec89ff238b629a15e4e80b2de9ad23604",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-30T14:58:43Z",
    "title_canon_sha256": "6c389f0e40a3d985f5740beb7e0d1da1f938b5de350813938ff780aeed89ebfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10334",
    "kind": "arxiv",
    "version": 2
  }
}