Pith Number

pith:LQ532FDC

pith:2014:LQ532FDCUYWCHJPAWKSO4H6ER4

not attested not anchored not stored refs pending

Determining the maximum difference between the number of atoms and number of coatoms of a Bruhat interval of the symmetric group

Emmanuel Tsukerman

arxiv:1407.6437 v2 · 2014-07-24 · 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{LQ532FDCUYWCHJPAWKSO4H6ER4}

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	2026-05-18T02:46:24.021927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c3bbd1462a62c23a5e0b2a4ee1fc48f1c7a272728c540229bb1669b40aa1747

Aliases

arxiv: 1407.6437 · arxiv_version: 1407.6437v2 · doi: 10.48550/arxiv.1407.6437 · pith_short_12: LQ532FDCUYWC · pith_short_16: LQ532FDCUYWCHJPA · pith_short_8: LQ532FDC

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/LQ532FDCUYWCHJPAWKSO4H6ER4 \
  | 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: 5c3bbd1462a62c23a5e0b2a4ee1fc48f1c7a272728c540229bb1669b40aa1747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "252a5548dc62e7a8517f0439838ebe3d4015ee6cd24f87d197fc2b59e9d3622f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-24T03:18:11Z",
    "title_canon_sha256": "b7152182ac88428ce47b57c823ed75de1bff30fccd7d63ceabed8b6d6ef1729d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6437",
    "kind": "arxiv",
    "version": 2
  }
}