Pith Number

pith:IE4BX5VJ

pith:2017:IE4BX5VJKPSQAGD6H6ZL7XDDOC

not attested not anchored not stored refs pending

Partially hyperbolic diffeomorphisms homotopic to the identity on 3-manifolds

Rafael Potrie, Sergio Fenley, Steven Frankel, Thomas Barthelm\'e

arxiv:1801.00214 v1 · 2017-12-31 · math.DS · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IE4BX5VJKPSQAGD6H6ZL7XDDOC}

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.

Cited by

1 paper in Pith

Ergodicity and partial hyperbolicity on Seifert manifolds

Receipt and verification

First computed	2026-05-18T00:26:59.079140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41381bf6a953e500187e3fb2bfdc63709a80569b5bfbb3644c2236bffb29b884

Aliases

arxiv: 1801.00214 · arxiv_version: 1801.00214v1 · doi: 10.48550/arxiv.1801.00214 · pith_short_12: IE4BX5VJKPSQ · pith_short_16: IE4BX5VJKPSQAGD6 · pith_short_8: IE4BX5VJ

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/IE4BX5VJKPSQAGD6H6ZL7XDDOC \
  | 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: 41381bf6a953e500187e3fb2bfdc63709a80569b5bfbb3644c2236bffb29b884

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7123b1970027f1e72212da1634dd6aa0ca91916dcace3eff00cca3e61dad435",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-31T00:42:26Z",
    "title_canon_sha256": "a913aa0ebc230804da609799524f86a5a6654bec6a9550ee15461d70e65bf19d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00214",
    "kind": "arxiv",
    "version": 1
  }
}