Pith Number

pith:JM7UN2FB

pith:2016:JM7UN2FBNPN6SQNX76ZODIMHHC

not attested not anchored not stored refs pending

Smoothness of stable holonomies inside center-stable manifolds and the $C^2$ hypothesis in Pugh-Shub and Ledrappier-Young theory

Aaron Brown

arxiv:1608.05886 v1 · 2016-08-21 · 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{JM7UN2FBNPN6SQNX76ZODIMHHC}

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	2026-05-18T01:08:22.935420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b3f46e8a16bdbe941b7ffb2e1a18738bbbee58b502a6b398b79b07f2560c4c6

Aliases

arxiv: 1608.05886 · arxiv_version: 1608.05886v1 · doi: 10.48550/arxiv.1608.05886 · pith_short_12: JM7UN2FBNPN6 · pith_short_16: JM7UN2FBNPN6SQNX · pith_short_8: JM7UN2FB

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/JM7UN2FBNPN6SQNX76ZODIMHHC \
  | 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: 4b3f46e8a16bdbe941b7ffb2e1a18738bbbee58b502a6b398b79b07f2560c4c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a4bf2e47eb65ca43c3aa5fdffa2eb2729988f9879cb179b95fe910835021a39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-21T01:24:23Z",
    "title_canon_sha256": "ff57cbd22177f7de7bbabe73ef65d9cd22380fd69968a2f8ca78bb4476704dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05886",
    "kind": "arxiv",
    "version": 1
  }
}