Pith Number

pith:T2BNFZTL

pith:2024:T2BNFZTLGWLKQJLGKXATSKANJR

not attested not anchored not stored refs pending

The horospherical $p$-Christoffel-Minkowski problem in hyperbolic space

Tianci Luo, Yong Wei

arxiv:2411.17328 v1 · 2024-11-26 · math.AP · 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{T2BNFZTLGWLKQJLGKXATSKANJR}

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	2026-07-05T10:44:41.428452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e82d2e66b3596a8256655c139280d4c518396068c1e866685d7532c488d2079

Aliases

arxiv: 2411.17328 · arxiv_version: 2411.17328v1 · doi: 10.48550/arxiv.2411.17328 · pith_short_12: T2BNFZTLGWLK · pith_short_16: T2BNFZTLGWLKQJLG · pith_short_8: T2BNFZTL

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/T2BNFZTLGWLKQJLGKXATSKANJR \
  | 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: 9e82d2e66b3596a8256655c139280d4c518396068c1e866685d7532c488d2079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f8deadf00e891758f3cf5ab3ed23d59bc9c909c512f19fdb466e4c0a49b245",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-26T11:15:01Z",
    "title_canon_sha256": "e5b0bb6a4c95939912be6cd9cc8f10ec552b2208c73a589150f2b410035991cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17328",
    "kind": "arxiv",
    "version": 1
  }
}