Pith Number

pith:5ESEIJQ2

pith:2024:5ESEIJQ27UTYPYFZ4UVQJLWO6H

not attested not anchored not stored refs pending

Geometric mean for T-positive definite tensors and associated Riemannian geometry

Hayoung Choi, Jeong-Hoon Ju, Taehyeong Kim, Yeongrak Kim

arxiv:2404.00255 v1 · 2024-03-30 · math.NA · cs.NA · math.DG · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ESEIJQ27UTYPYFZ4UVQJLWO6H}

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	2026-07-05T08:02:30.271383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e92444261afd2787e0b9e52b04aecef1e9422363e4b4d51173e716f849ecbb23

Aliases

arxiv: 2404.00255 · arxiv_version: 2404.00255v1 · doi: 10.48550/arxiv.2404.00255 · pith_short_12: 5ESEIJQ27UTY · pith_short_16: 5ESEIJQ27UTYPYFZ · pith_short_8: 5ESEIJQ2

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/5ESEIJQ27UTYPYFZ4UVQJLWO6H \
  | 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: e92444261afd2787e0b9e52b04aecef1e9422363e4b4d51173e716f849ecbb23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a34361611342df1ea0dcb61f17feb36257c2f016471bc7671ace1420165b181c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-03-30T06:02:54Z",
    "title_canon_sha256": "f992e2f74f16fb0bbaa4278623ace9da8c08275de3f089d23bfe8ea38d58d3e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.00255",
    "kind": "arxiv",
    "version": 1
  }
}