Pith Number

pith:I2ZETNLT

pith:2022:I2ZETNLTMKD467H5RC3ER454LW

not attested not anchored not stored refs pending

Hyperbolic $p$-sum and Horospherical $p$-Brunn-Minkowski theory in hyperbolic space

Botong Xu, Haizhong Li

arxiv:2211.06875 v1 · 2022-11-13 · math.MG · 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{I2ZETNLTMKD467H5RC3ER454LW}

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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

1 paper in Pith

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds

Receipt and verification

First computed	2026-07-05T05:15:46.375900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b249b5736287cf7cfd88b648f3bc5da9c42d3f257801ae651416078bc28923

Aliases

arxiv: 2211.06875 · arxiv_version: 2211.06875v1 · doi: 10.48550/arxiv.2211.06875 · pith_short_12: I2ZETNLTMKD4 · pith_short_16: I2ZETNLTMKD467H5 · pith_short_8: I2ZETNLT

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/I2ZETNLTMKD467H5RC3ER454LW \
  | 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: 46b249b5736287cf7cfd88b648f3bc5da9c42d3f257801ae651416078bc28923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a4947de6a192c69ef1ecc9e62e986720e2e8c6849097701fbdc43143cd39f67",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2022-11-13T11:06:04Z",
    "title_canon_sha256": "81aaf80c142ec149bf13de25a1cbf3036463edb7a7b5fc776f8a2961f785d182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.06875",
    "kind": "arxiv",
    "version": 1
  }
}