Pith Number

pith:WY4UHJNH

pith:2017:WY4UHJNHR2GJ4QC6PDOUE24PGM

not attested not anchored not stored refs pending

The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open

Adriana S\'anchez, Lucas Backes, Mauricio Poletti

arxiv:1706.08505 v2 · 2017-06-26 · 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{WY4UHJNHR2GJ4QC6PDOUE24PGM}

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	2026-05-17T23:45:24.455092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b63943a5a78e8c9e405e78dd426b8f333edfeb7e856e72dc0136d2ae6af9c4da

Aliases

arxiv: 1706.08505 · arxiv_version: 1706.08505v2 · doi: 10.48550/arxiv.1706.08505 · pith_short_12: WY4UHJNHR2GJ · pith_short_16: WY4UHJNHR2GJ4QC6 · pith_short_8: WY4UHJNH

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/WY4UHJNHR2GJ4QC6PDOUE24PGM \
  | 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: b63943a5a78e8c9e405e78dd426b8f333edfeb7e856e72dc0136d2ae6af9c4da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71add1a1b7419325569a4b48733639cc1fa12b22e19d09de377b2d68c163b70c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-26T17:52:19Z",
    "title_canon_sha256": "d94217b5c2b95e409c716cd3794b17b0dc4956fa9159dabd07e67dea720baf72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08505",
    "kind": "arxiv",
    "version": 2
  }
}