Pith Number

pith:4ZJBFY6L

pith:2024:4ZJBFY6LJM2CNLGBDYA7B6GP7P

not attested not anchored not stored refs pending

The dual Minkowski problem for $q$-torsional rigidity

Peibiao Zhao, Xia Zhao

arxiv:2411.00779 v3 · 2024-10-16 · 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{4ZJBFY6LJM2CNLGBDYA7B6GP7P}

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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

The Lq-Minkowski problem of anisotropic p-torsional rigidity

Receipt and verification

First computed	2026-07-05T09:52:17.828843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e65212e3cb4b3426acc11e01f0f8cffbd7b6afc7450dbcb813477b47ac3b0bab

Aliases

arxiv: 2411.00779 · arxiv_version: 2411.00779v3 · doi: 10.48550/arxiv.2411.00779 · pith_short_12: 4ZJBFY6LJM2C · pith_short_16: 4ZJBFY6LJM2CNLGB · pith_short_8: 4ZJBFY6L

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/4ZJBFY6LJM2CNLGBDYA7B6GP7P \
  | 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: e65212e3cb4b3426acc11e01f0f8cffbd7b6afc7450dbcb813477b47ac3b0bab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44a7ab6df74d78f6a2ae02527e17142383c20d09bef1a9254fad8d68ec898b90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-10-16T12:45:54Z",
    "title_canon_sha256": "201ebf4ad4f235acb032c9a43211a0634ba06d5d47725e6c0cd7016636b8994e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.00779",
    "kind": "arxiv",
    "version": 3
  }
}