Pith Number

pith:KTLMIYMB

pith:2019:KTLMIYMB3SFP52LDBFKOKCX53K

not attested not anchored not stored refs pending

Toric Bruhat interval polytopes

Eunjeong Lee, Mikiya Masuda, Seonjeong Park

arxiv:1904.10187 v2 · 2019-04-23 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KTLMIYMB3SFP52LDBFKOKCX53K}

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

1 paper in Pith

Torus orbit closures in flag varieties and retractions on Weyl groups

Receipt and verification

First computed	2026-07-05T02:38:26.969210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54d6c46181dc8afee9630954e50afddaa8130945b7f0121b0af608e31cfb3288

Aliases

arxiv: 1904.10187 · arxiv_version: 1904.10187v2 · doi: 10.48550/arxiv.1904.10187 · pith_short_12: KTLMIYMB3SFP · pith_short_16: KTLMIYMB3SFP52LD · pith_short_8: KTLMIYMB

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/KTLMIYMB3SFP52LDBFKOKCX53K \
  | 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: 54d6c46181dc8afee9630954e50afddaa8130945b7f0121b0af608e31cfb3288

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "951c12ce135780c609a30bbef837bcbb79848a977b9ef8ade7eab380789d0829",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-23T07:49:26Z",
    "title_canon_sha256": "5a86a138e4a5d6e9fe3f3a99618e208a70257000cb944b1b591cae9ab027a137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10187",
    "kind": "arxiv",
    "version": 2
  }
}