Pith Number

pith:K5V3PEUY

pith:2026:K5V3PEUYNLW7S5P7XLZY663OVZ

not attested not anchored not stored refs pending

Tree-Structured Orthonormal Decomposition of the Aitchison Simplex

Barbara B. Bendlin, Daisuke Yamada, Federico Rey, Qijun Zhang, Travis Pence, Vikas Singh

arxiv:2606.11646 v1 · 2026-06-10 · cs.LG · q-bio.QM · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5V3PEUYNLW7S5P7XLZY663OVZ}

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	2026-06-11T01:10:00.750792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

576bb792986aedf975ffbaf38f7b6eae7e12b2664c59d199851445dd3a030f18

Aliases

arxiv: 2606.11646 · arxiv_version: 2606.11646v1 · doi: 10.48550/arxiv.2606.11646 · pith_short_12: K5V3PEUYNLW7 · pith_short_16: K5V3PEUYNLW7S5P7 · pith_short_8: K5V3PEUY

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/K5V3PEUYNLW7S5P7XLZY663OVZ \
  | 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: 576bb792986aedf975ffbaf38f7b6eae7e12b2664c59d199851445dd3a030f18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34fcc9df5993965aa20573860c13d52c19525e470b26609ac60dac95f96fc51d",
    "cross_cats_sorted": [
      "q-bio.QM",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-10T04:21:29Z",
    "title_canon_sha256": "91f0c29ca0e461079a8f4e34b8e1d55da17341c145b5ab920f2c6fea5aa493ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11646",
    "kind": "arxiv",
    "version": 1
  }
}