Pith Number

pith:BOQAGY4E

pith:2026:BOQAGY4ELMOQ22KXJ6XT5UD2DM

not attested not anchored not stored refs pending

On Samuels' Conjecture

Zhi Ling

arxiv:2608.18392 v1 · 2026-08-18 · math.PR · 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{BOQAGY4ELMOQ22KXJ6XT5UD2DM}

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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.

Cited by

1 paper in Pith

A Cap-Move Reformulation of Ling's Proof of Samuels' Conjecture

Receipt and verification

First computed	2026-08-20T00:26:38.456819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ba00363845b1d0d69574faf3ed07a1b2f568c223c34cbcd213e690b53e60aec

Aliases

arxiv: 2608.18392 · arxiv_version: 2608.18392v1 · doi: 10.48550/arxiv.2608.18392 · pith_short_12: BOQAGY4ELMOQ · pith_short_16: BOQAGY4ELMOQ22KX · pith_short_8: BOQAGY4E

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/BOQAGY4ELMOQ22KXJ6XT5UD2DM \
  | 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: 0ba00363845b1d0d69574faf3ed07a1b2f568c223c34cbcd213e690b53e60aec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec840ccd266f72e217d09bec3ac603dc9e875aa2ddd19cfe4cfc6d1ff6b8c69a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-18T23:48:34Z",
    "title_canon_sha256": "bb2673ad92a48718615e1cd9be52a7d08972a97e08bb4436eb6d59bee024fcdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.18392",
    "kind": "arxiv",
    "version": 1
  }
}