Pith Number

pith:EYBQMHBN

pith:2025:EYBQMHBNQGKW5RXIFPDHSKBVJR

not attested not anchored not stored refs pending

Applying Hurlbert's Linear Optimization Technique to Establish Bounds on Pebbling Numbers

Lingwen Li

arxiv:2509.11024 v1 · 2025-09-14 · 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{EYBQMHBNQGKW5RXIFPDHSKBVJR}

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	2026-07-05T12:11:32.068568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2603061c2d81956ec6e82bc67928354c6801c74431fa0c38983723f7807943fa

Aliases

arxiv: 2509.11024 · arxiv_version: 2509.11024v1 · doi: 10.48550/arxiv.2509.11024 · pith_short_12: EYBQMHBNQGKW · pith_short_16: EYBQMHBNQGKW5RXI · pith_short_8: EYBQMHBN

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/EYBQMHBNQGKW5RXIFPDHSKBVJR \
  | 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: 2603061c2d81956ec6e82bc67928354c6801c74431fa0c38983723f7807943fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a6fba6a6e270c4d1f46f4eb24b9bc03b5ab0e9eeb6c7c7eff724cf8e095720c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-14T01:32:08Z",
    "title_canon_sha256": "a8ddda0a5b2102b115fff920b1b0e42212f19b8d9e7d319e4e660acc6c446350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.11024",
    "kind": "arxiv",
    "version": 1
  }
}