Pith Number

pith:UNZWS5DH

pith:1999:UNZWS5DHOWJGUSN3BLZSQS2PQ4

not attested not anchored not stored refs pending

Almost invariant submanifolds for compact group actions

Alan Weinstein

arxiv:math/9908133 v2 · 1999-08-25 · 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{UNZWS5DHOWJGUSN3BLZSQS2PQ4}

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	2026-07-04T14:41:17.230403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a37369746775926a49bb0af3284b4f87080e50a824a9956c6045f1a17c7c7a74

Aliases

arxiv: math/9908133 · arxiv_version: math/9908133v2 · doi: 10.48550/arxiv.math/9908133 · pith_short_12: UNZWS5DHOWJG · pith_short_16: UNZWS5DHOWJGUSN3 · pith_short_8: UNZWS5DH

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/UNZWS5DHOWJGUSN3BLZSQS2PQ4 \
  | 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: a37369746775926a49bb0af3284b4f87080e50a824a9956c6045f1a17c7c7a74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb234ef86068b912debbc641ab48664b2f0d29371693f38011072006279bb9d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "1999-08-25T17:41:05Z",
    "title_canon_sha256": "36847ce1dd7a2f45ebdf06b0412c85b692cfbebed59be195787c115b459522bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9908133",
    "kind": "arxiv",
    "version": 2
  }
}