Pith Number

pith:2DOEFJO3

pith:2011:2DOEFJO3KXDSRIR4KGX4WYBGWE

not attested not anchored not stored refs pending

Maximal supports and Schur-positivity among connected skew shapes

Peter R. W. McNamara, Stephanie van Willigenburg

arxiv:1107.4373 v2 · 2011-07-21 · 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{2DOEFJO3KXDSRIR4KGX4WYBGWE}

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	2026-05-18T03:51:25.654532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0dc42a5db55c728a23c51afcb6026b12f629373138613efabd107aa70fa03e8

Aliases

arxiv: 1107.4373 · arxiv_version: 1107.4373v2 · doi: 10.48550/arxiv.1107.4373 · pith_short_12: 2DOEFJO3KXDS · pith_short_16: 2DOEFJO3KXDSRIR4 · pith_short_8: 2DOEFJO3

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/2DOEFJO3KXDSRIR4KGX4WYBGWE \
  | 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: d0dc42a5db55c728a23c51afcb6026b12f629373138613efabd107aa70fa03e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d733179c7d81b4c764002f49562bdfecf0c38f5786ca40e855e2b6027c1fd980",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-21T20:29:20Z",
    "title_canon_sha256": "f729afa595a889d2725e37aebb70569aa95c5e7b2abf5fbbe8d563cdfb838a59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4373",
    "kind": "arxiv",
    "version": 2
  }
}