Pith Number

pith:YJG5ZD5N

pith:2024:YJG5ZD5NBHQI24XPMRM4ORKLQ4

not attested not anchored not stored refs pending

Smoothness of submetries

Alexander Lytchak, Burkhard Wilking

arxiv:2411.15324 v1 · 2024-11-22 · 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{YJG5ZD5NBHQI24XPMRM4ORKLQ4}

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

2 papers in Pith

The dual foliation of polar actions on nonnegatively curved manifolds

Faces of invariant convex sets in representations of nontrivial copolarity

Receipt and verification

First computed	2026-07-05T09:39:33.191904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c24ddc8fad09e08d72ef6459c7454b87034947a01d606ec93ba63f7fb2ee6978

Aliases

arxiv: 2411.15324 · arxiv_version: 2411.15324v1 · doi: 10.48550/arxiv.2411.15324 · pith_short_12: YJG5ZD5NBHQI · pith_short_16: YJG5ZD5NBHQI24XP · pith_short_8: YJG5ZD5N

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/YJG5ZD5NBHQI24XPMRM4ORKLQ4 \
  | 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: c24ddc8fad09e08d72ef6459c7454b87034947a01d606ec93ba63f7fb2ee6978

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "467780c9c3a3323cc42a18bceba39f024fe55035ca6a90372e2b7bcb09d16b0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-11-22T19:32:43Z",
    "title_canon_sha256": "f235ce95cd11749835f18686f01ac440824719f25b727b0ff92d57bdbf52d7ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.15324",
    "kind": "arxiv",
    "version": 1
  }
}