Pith Number

pith:R3UC6VEP

pith:2011:R3UC6VEPGRVU5OK4D2HOIWPUMU

not attested not anchored not stored refs pending

Counterexamples to a Monotonicity Conjecture for the Threshold Pebbling Number

Cecilia Holmgren, Johan Bj\"orklund

arxiv:1107.4902 v1 · 2011-07-25 · 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{R3UC6VEPGRVU5OK4D2HOIWPUMU}

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	2026-05-18T04:16:54.315389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee82f548f346b4eb95c1e8ee459f4653f62b92b74f6c79b237714b7d9fe9a35

Aliases

arxiv: 1107.4902 · arxiv_version: 1107.4902v1 · doi: 10.48550/arxiv.1107.4902 · pith_short_12: R3UC6VEPGRVU · pith_short_16: R3UC6VEPGRVU5OK4 · pith_short_8: R3UC6VEP

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/R3UC6VEPGRVU5OK4D2HOIWPUMU \
  | 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: 8ee82f548f346b4eb95c1e8ee459f4653f62b92b74f6c79b237714b7d9fe9a35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "192461639eb4575f7acf5cbe04a8e94f2361ea6972a687ba7a1205ec8d5899e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-25T11:33:15Z",
    "title_canon_sha256": "e242aba72493bf3544cc42259664f8c66c9a4ea1ef54bcaa2416fc119c66578c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4902",
    "kind": "arxiv",
    "version": 1
  }
}