Pith Number

pith:62MI7UPD

pith:2011:62MI7UPD5UK7YWHOZLUXZDZP4B

not attested not anchored not stored refs pending

A linear optimization technique for graph pebbling

Glenn Hurlbert

arxiv:1101.5641 v1 · 2011-01-28 · 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{62MI7UPD5UK7YWHOZLUXZDZP4B}

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.

Cited by

2 papers in Pith

Improved Upper Bounds on the Pebbling Numbers of the Blanu\v{s}a Snarks

Receipt and verification

First computed	2026-05-18T02:22:42.151035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6988fd1e3ed15fc58eecae97c8f2fe069aab54c8c9e36c6c4ad2510f7161f7d

Aliases

arxiv: 1101.5641 · arxiv_version: 1101.5641v1 · doi: 10.48550/arxiv.1101.5641 · pith_short_12: 62MI7UPD5UK7 · pith_short_16: 62MI7UPD5UK7YWHO · pith_short_8: 62MI7UPD

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/62MI7UPD5UK7YWHOZLUXZDZP4B \
  | 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: f6988fd1e3ed15fc58eecae97c8f2fe069aab54c8c9e36c6c4ad2510f7161f7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2b78a4ad97ff3aabc3d10cf700222ffefa7f3b742b1d7fd91f2f1cf55a5170c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-28T22:18:25Z",
    "title_canon_sha256": "234b2946635c51540be3eb43d52d45de3bc595e81c8f7e858c753f99ce0eb95e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5641",
    "kind": "arxiv",
    "version": 1
  }
}