Pith Number

pith:KN5Q6RIG

pith:2026:KN5Q6RIGYFIJMMWEZCFID4RWI2

not attested not anchored not stored refs pending

Towards Solving the Gilbert-Pollak Conjecture via Large Language Models

Di He, Jingchu Gai, Liwei Wang, Tianyu Huang, Yankai Shu, Yisi Ke

arxiv:2601.22365 v2 · 2026-01-29 · cs.DM · 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{KN5Q6RIGYFIJMMWEZCFID4RWI2}

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	2026-05-22T01:03:54.932061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

537b0f4506c1509632c4c88a81f2364692aefb185451a4d560b03c1ce3b792d3

Aliases

arxiv: 2601.22365 · arxiv_version: 2601.22365v2 · doi: 10.48550/arxiv.2601.22365 · pith_short_12: KN5Q6RIGYFIJ · pith_short_16: KN5Q6RIGYFIJMMWE · pith_short_8: KN5Q6RIG

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/KN5Q6RIGYFIJMMWEZCFID4RWI2 \
  | 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: 537b0f4506c1509632c4c88a81f2364692aefb185451a4d560b03c1ce3b792d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a705e14487124237149f714ccc42f4a0fbb014118c90038fdba5a1d99777acc",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2026-01-29T22:18:04Z",
    "title_canon_sha256": "d66aa6e9fa52dfadc32c5d11ee421c4f0c948e0192ea7ee5d54bb78fe7923005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.22365",
    "kind": "arxiv",
    "version": 2
  }
}