Pith Number

pith:ALYZ63CU

pith:2019:ALYZ63CULIGQVVZAQGLUZCWT4V

not attested not anchored not stored refs pending

Contracting axially symmetric hypersurfaces by powers of the $\sigma_k$-curvature

Haizhong Li, Jing Wu, Xianfeng Wang

arxiv:1905.05571 v1 · 2019-05-14 · 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{ALYZ63CULIGQVVZAQGLUZCWT4V}

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	2026-05-17T23:46:14.172451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02f19f6c545a0d0ad72081974c8ad3e54a3f6cf071cc6d9b3a05c453d250c02e

Aliases

arxiv: 1905.05571 · arxiv_version: 1905.05571v1 · doi: 10.48550/arxiv.1905.05571 · pith_short_12: ALYZ63CULIGQ · pith_short_16: ALYZ63CULIGQVVZA · pith_short_8: ALYZ63CU

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/ALYZ63CULIGQVVZAQGLUZCWT4V \
  | 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: 02f19f6c545a0d0ad72081974c8ad3e54a3f6cf071cc6d9b3a05c453d250c02e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1edec5de4a9b69256aa6ed9fe17f1c07928c0fe98f662ae2fc62e7e8e6e6f496",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-05-14T12:58:32Z",
    "title_canon_sha256": "babc99b5c1de3641744c18c355e65c4796ff50dbb1a5cd5159efa4c3c58a0376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05571",
    "kind": "arxiv",
    "version": 1
  }
}