Pith Number

pith:K3KZ24OI

pith:2014:K3KZ24OI4AATB7L6A5UEQ3FD6T

not attested not anchored not stored refs pending

Center manifolds for partially hyperbolic set without strong unstable connections

Christian Bonatti, Sylvain Crovisier

arxiv:1401.2452 v1 · 2014-01-10 · 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{K3KZ24OI4AATB7L6A5UEQ3FD6T}

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	2026-05-17T23:53:35.142777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d59d71c8e00130fd7e0768486ca3f4e9fcb07fe4db226725e5f059e691e9ce

Aliases

arxiv: 1401.2452 · arxiv_version: 1401.2452v1 · doi: 10.48550/arxiv.1401.2452 · pith_short_12: K3KZ24OI4AAT · pith_short_16: K3KZ24OI4AATB7L6 · pith_short_8: K3KZ24OI

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/K3KZ24OI4AATB7L6A5UEQ3FD6T \
  | 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: 56d59d71c8e00130fd7e0768486ca3f4e9fcb07fe4db226725e5f059e691e9ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c889b46846ff4640b08d2b47c7a5c27a4ab72b5ce8152e0d05d1d7c1d90943b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-01-10T20:55:00Z",
    "title_canon_sha256": "90353077c2b557c20788c2fea2d9f4312a25b96f593106704ff0a79af95e34d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2452",
    "kind": "arxiv",
    "version": 1
  }
}