Pith Number

pith:QQXOAYH4

pith:2026:QQXOAYH4XBUXHDHDCNRLFA5IXH

not attested not anchored not stored refs pending

Conditional Random Ordered Transport Spaces

Jian Yang, Lei Luo

arxiv:2606.08113 v1 · 2026-06-06 · cs.LG · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQXOAYH4XBUXHDHDCNRLFA5IXH}

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	2026-06-09T01:05:26.969604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

842ee060fcb869738ce31362b283a8b9cb00c7b77b4a35364d1b626405a2898c

Aliases

arxiv: 2606.08113 · arxiv_version: 2606.08113v1 · doi: 10.48550/arxiv.2606.08113 · pith_short_12: QQXOAYH4XBUX · pith_short_16: QQXOAYH4XBUXHDHD · pith_short_8: QQXOAYH4

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/QQXOAYH4XBUXHDHDCNRLFA5IXH \
  | 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: 842ee060fcb869738ce31362b283a8b9cb00c7b77b4a35364d1b626405a2898c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "080b086be200e8f4d92373ecf62560e536d9d64f8c2566b072ead58887d8605c",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-06T11:25:47Z",
    "title_canon_sha256": "d30b4c23dc0326ef2d82cf88bf465546a628933dd9c2b4eb0eaac9b7aad2af49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08113",
    "kind": "arxiv",
    "version": 1
  }
}