Pith Number

pith:OID3SMJP

pith:2026:OID3SMJPXWDOVSDGKGHEAWEIJC

not attested not anchored not stored refs pending

Compact Geometric Representations of Hierarchies

Haike Xu, Piotr Indyk, Prashant Gokhale, Sandeep Silwal, Tony Chang Wang, Yuhao Liu

arxiv:2606.18520 v1 · 2026-06-16 · stat.ML · cs.CG · cs.CL · cs.DS · cs.IR · 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{OID3SMJPXWDOVSDGKGHEAWEIJC}

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	2026-06-19T16:11:39.880161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7207b9312fbd86eac866518e405888488adc3f81d6f2545a34f14c7da9debe47

Aliases

arxiv: 2606.18520 · arxiv_version: 2606.18520v1 · doi: 10.48550/arxiv.2606.18520 · pith_short_12: OID3SMJPXWDO · pith_short_16: OID3SMJPXWDOVSDG · pith_short_8: OID3SMJP

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/OID3SMJPXWDOVSDGKGHEAWEIJC \
  | 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: 7207b9312fbd86eac866518e405888488adc3f81d6f2545a34f14c7da9debe47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b2f2c9a48705f9174e788495342d429b616f447704d806651f4195ce818d466",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.CL",
      "cs.DS",
      "cs.IR",
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-16T22:20:52Z",
    "title_canon_sha256": "14492fddaefa9673ba94c8fca073b54f906e8b94afd713b060a740ff37ae3a5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18520",
    "kind": "arxiv",
    "version": 1
  }
}