Pith Number

pith:H23M6LBP

pith:2011:H23M6LBPKE7PEHPXHTSWAU3VSX

not attested not anchored not stored refs pending

On bar lengths in partitions

Jean-Baptiste Gramain, Jorn B. Olsson

arxiv:1101.5071 v2 · 2011-01-26 · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H23M6LBPKE7PEHPXHTSWAU3VSX}

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	2026-05-18T03:37:05.877572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eb6cf2c2f513ef21df73ce560537595ff9e5f680f719981e13fc47880a23246

Aliases

arxiv: 1101.5071 · arxiv_version: 1101.5071v2 · doi: 10.48550/arxiv.1101.5071 · pith_short_12: H23M6LBPKE7P · pith_short_16: H23M6LBPKE7PEHPX · pith_short_8: H23M6LBP

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/H23M6LBPKE7PEHPXHTSWAU3VSX \
  | 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: 3eb6cf2c2f513ef21df73ce560537595ff9e5f680f719981e13fc47880a23246

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a63abcafa4709dde47b08d899fdf1947da0abb099929271ac61a52cb87dbe56",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-26T14:47:11Z",
    "title_canon_sha256": "d8e4a08bd15d73f55a73536c128cd9fe901f19286ff58d5b03366e15fe20a16f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5071",
    "kind": "arxiv",
    "version": 2
  }
}