Pith Number

pith:7KTAW7XV

pith:2015:7KTAW7XVR5E2QPPPS6YICZYL7J

not attested not anchored not stored refs pending

Newton-Okounkov bodies of Bott-Samelson varieties and Grossberg-Karshon twisted cubes

Jihyeon Jessie Yang, Megumi Harada

arxiv:1504.00982 v2 · 2015-04-04 · math.AG · 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{7KTAW7XVR5E2QPPPS6YICZYL7J}

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

Generic pipe dreams, lower-upper varieties, and Schwartz-MacPherson classes

Receipt and verification

First computed	2026-05-18T00:12:58.873039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faa60b7ef58f49a83def97b081670bfa67d7086769cd4bd92735d1f1f8e08b39

Aliases

arxiv: 1504.00982 · arxiv_version: 1504.00982v2 · doi: 10.48550/arxiv.1504.00982 · pith_short_12: 7KTAW7XVR5E2 · pith_short_16: 7KTAW7XVR5E2QPPP · pith_short_8: 7KTAW7XV

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/7KTAW7XVR5E2QPPPS6YICZYL7J \
  | 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: faa60b7ef58f49a83def97b081670bfa67d7086769cd4bd92735d1f1f8e08b39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c6b7907d996d5c75a473e3e953cbd00c95283438bfb77532c976910b9c73724",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-04-04T05:36:09Z",
    "title_canon_sha256": "305610e08aabfb5d145911bc985a97cf31151f01df4336f11bd2f0bc26f546c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00982",
    "kind": "arxiv",
    "version": 2
  }
}