Pith Number

pith:2UCTP5NF

pith:2010:2UCTP5NFKHDK42RRQTECCALNC6

not attested not anchored not stored refs pending

An example of $C^1$-generically wild homoclinic classes with index deficiency

Katsutoshi Shinohara

arxiv:1006.5569 v1 · 2010-06-29 · 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{2UCTP5NFKHDK42RRQTECCALNC6}

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	2026-05-18T04:17:25.125195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d50537f5a551c6ae6a3184c821016d17b8aedf3997d8def4738f6e009c6337ca

Aliases

arxiv: 1006.5569 · arxiv_version: 1006.5569v1 · doi: 10.48550/arxiv.1006.5569 · pith_short_12: 2UCTP5NFKHDK · pith_short_16: 2UCTP5NFKHDK42RR · pith_short_8: 2UCTP5NF

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/2UCTP5NFKHDK42RRQTECCALNC6 \
  | 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: d50537f5a551c6ae6a3184c821016d17b8aedf3997d8def4738f6e009c6337ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88484aae74cf559b11986b4680f2087b40e85fafd80407ec84f71cda6f6e186d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-06-29T11:24:53Z",
    "title_canon_sha256": "33dba062570ef7c593f7592765bd7656fa4b339b9a9fd6d67d85b3916ca5d80d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5569",
    "kind": "arxiv",
    "version": 1
  }
}