Pith Number

pith:K752YQL2

pith:2026:K752YQL265IIASJIIIJRPRYWZJ

not attested not anchored not stored refs pending

critband: A Python Package for Critical Bandwidth Analysis of Multimodal Distributions

Qihao Wang, Ruiyu Zhang

arxiv:2605.18686 v1 · 2026-05-18 · cs.MS · econ.EM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K752YQL265IIASJIIIJRPRYWZJ}

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	2026-05-20T00:06:14.985664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57fbac417af750804928421317c716ca498f387c2527042a630bb90fb1049e22

Aliases

arxiv: 2605.18686 · arxiv_version: 2605.18686v1 · doi: 10.48550/arxiv.2605.18686 · pith_short_12: K752YQL265II · pith_short_16: K752YQL265IIASJI · pith_short_8: K752YQL2

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/K752YQL265IIASJIIIJRPRYWZJ \
  | 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: 57fbac417af750804928421317c716ca498f387c2527042a630bb90fb1049e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4b06da48c7160bcd821984dfcd80f1db15ab97efab499a447b2355f15545f42",
    "cross_cats_sorted": [
      "econ.EM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2026-05-18T17:23:41Z",
    "title_canon_sha256": "3b5cc7209c90e6f2184fa9033f8629e397fcf0ced15b6e7955145552a14196da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18686",
    "kind": "arxiv",
    "version": 1
  }
}