Pith Number

pith:UNG5EN2S

pith:2026:UNG5EN2SNXOEMZHESJPINHZOOU

not attested not anchored not stored refs pending

Geometry-Aware MCTS for Extremal Problems in Combinatorial Geometry

Luoning Zhang, Nathan Kaplan, Tianhao Wang, Xu Zhuang

arxiv:2606.26399 v1 · 2026-06-24 · cs.AI · cs.CG · cs.LG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UNG5EN2SNXOEMZHESJPINHZOOU}

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	2026-06-26T00:15:39.901541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a34dd237526ddc4664e4925e869f2e751876b9d054484d1f5ce63aed5f1250a9

Aliases

arxiv: 2606.26399 · arxiv_version: 2606.26399v1 · doi: 10.48550/arxiv.2606.26399 · pith_short_12: UNG5EN2SNXOE · pith_short_16: UNG5EN2SNXOEMZHE · pith_short_8: UNG5EN2S

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/UNG5EN2SNXOEMZHESJPINHZOOU \
  | 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: a34dd237526ddc4664e4925e869f2e751876b9d054484d1f5ce63aed5f1250a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31dc6a47b3ec0e796a751c9fb0efbdc6aef59a80f60c02e460b1d090b3377ae4",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.LG",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-24T21:34:08Z",
    "title_canon_sha256": "168489babdf6900469f679ca5e74f8b6aa36c17826e1816c98d0aadc5df9134c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26399",
    "kind": "arxiv",
    "version": 1
  }
}