Pith Number

pith:YX3VOAE7

pith:2017:YX3VOAE7KVCHA56TMT5Y67PRZ6

not attested not anchored not stored refs pending

Expansion of pinched hypersurfaces of the Euclidean and hyperbolic space by high powers of curvature

Heiko Kr\"oner, Julian Scheuer

arxiv:1703.07087 v3 · 2017-03-21 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YX3VOAE7KVCHA56TMT5Y67PRZ6}

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	2026-05-17T23:41:22.345813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5f757009f55447077d364fb8f7df1cf9e31a6bf037d7599b56eafdb3ef5ba0f

Aliases

arxiv: 1703.07087 · arxiv_version: 1703.07087v3 · doi: 10.48550/arxiv.1703.07087 · pith_short_12: YX3VOAE7KVCH · pith_short_16: YX3VOAE7KVCHA56T · pith_short_8: YX3VOAE7

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/YX3VOAE7KVCHA56TMT5Y67PRZ6 \
  | 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: c5f757009f55447077d364fb8f7df1cf9e31a6bf037d7599b56eafdb3ef5ba0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "213a03b26f6bb1a1ed7ce327b10b938f392b99e9ce715d03eabb420982a0a8fc",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-03-21T08:07:35Z",
    "title_canon_sha256": "d72f0b37154af6a0b76429a9409a2f5ad977b68c90a78090a08d8f547fc87da8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07087",
    "kind": "arxiv",
    "version": 3
  }
}