Pith Number

pith:ILICD6WL

pith:2024:ILICD6WLDFFGNY3TNCWXUGZJF4

not attested not anchored not stored refs pending

The horospherical $p$-Christoffel-Minkowski and prescribed $p$-shifted Weingarten curvature problems in hyperbolic space

Botong Xu, Haizhong Li, Yingxiang Hu

arxiv:2411.17345 v1 · 2024-11-26 · 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{ILICD6WLDFFGNY3TNCWXUGZJF4}

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	2026-07-05T09:40:30.833017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42d021facb194a66e37368ad7a1b292f1cf02e59126fe288147b81ad22e15c32

Aliases

arxiv: 2411.17345 · arxiv_version: 2411.17345v1 · doi: 10.48550/arxiv.2411.17345 · pith_short_12: ILICD6WLDFFG · pith_short_16: ILICD6WLDFFGNY3T · pith_short_8: ILICD6WL

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/ILICD6WLDFFGNY3TNCWXUGZJF4 \
  | 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: 42d021facb194a66e37368ad7a1b292f1cf02e59126fe288147b81ad22e15c32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c75157b444e8b1935374ace6d09e3b81b44d34cc925adf9e60a4859670ac034",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-11-26T11:38:20Z",
    "title_canon_sha256": "ab6c8ddd20860af3f16df1ce7d159d52a370ca16c04ad3497b67922c0fbf1dd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17345",
    "kind": "arxiv",
    "version": 1
  }
}