Pith Number

pith:5QZMNW4X

pith:2025:5QZMNW4XV4LGDILG2YOYFRHI5X

not attested not anchored not stored refs pending

A Set-to-Set Distance Measure in Hyperbolic Space

Mehrtash Harandi, Peilin Yu, Pengxiang Li, Wei Wu, Xiaomeng Fan, Yunde Jia, Yuwei Wu, Zhi Gao, Zhipeng Lu

arxiv:2506.18529 v1 · 2025-06-23 · cs.CV · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QZMNW4XV4LGDILG2YOYFRHI5X}

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	2026-07-05T11:25:51.539974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec32c6db97af1661a166d61d82c4e8edc6673aa76bbe4dca219347bf9e3d8105

Aliases

arxiv: 2506.18529 · arxiv_version: 2506.18529v1 · doi: 10.48550/arxiv.2506.18529 · pith_short_12: 5QZMNW4XV4LG · pith_short_16: 5QZMNW4XV4LGDILG · pith_short_8: 5QZMNW4X

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/5QZMNW4XV4LGDILG2YOYFRHI5X \
  | 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: ec32c6db97af1661a166d61d82c4e8edc6673aa76bbe4dca219347bf9e3d8105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa4a2e03e8299da4d21b5379bca526ec7b43664cfc86a0f189eeeafdf9ad38e9",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2025-06-23T11:31:40Z",
    "title_canon_sha256": "552db33ca834a098505f9d5878846bbf401ef47c8ee0e865cbce1e85f74114ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.18529",
    "kind": "arxiv",
    "version": 1
  }
}