Pith Number

pith:44MMXK55

pith:2025:44MMXK556YTYEILRWJXUQ2BAFY

not attested not anchored not stored refs pending

Weinstein neighbourhood theorems for stratified subspaces

Sara B. Tukachinsky, Yael Karshon, Yoav Zimhony

arxiv:2507.04897 v3 · 2025-07-07 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44MMXK556YTYEILRWJXUQ2BAFY}

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	2026-07-28T01:22:21.037377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e718cbabbdf627822171b26f4868202e077ccd017ff3468e3c589d7e9a00cbde

Aliases

arxiv: 2507.04897 · arxiv_version: 2507.04897v3 · doi: 10.48550/arxiv.2507.04897 · pith_short_12: 44MMXK556YTY · pith_short_16: 44MMXK556YTYEILR · pith_short_8: 44MMXK55

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/44MMXK556YTYEILRWJXUQ2BAFY \
  | 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: e718cbabbdf627822171b26f4868202e077ccd017ff3468e3c589d7e9a00cbde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "893db67db5b4042ea4d010c6d36756b2d95c958f63126762f9925863f7005eee",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-07-07T11:28:50Z",
    "title_canon_sha256": "6d33732a2fce8702c40c465115cc22d15b257c8b08f413c13e39773cdc046960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04897",
    "kind": "arxiv",
    "version": 3
  }
}