Pith Number

pith:MPXW2HSM

pith:2014:MPXW2HSME7PW7467QZZCNMDC4R

not attested not anchored not stored refs pending

Cluster Variables on Certain Double Bruhat Cells of Type $(u,e)$ and Monomial Realizations of Crystal Bases of Type A

Toshiki Nakashima, Yuki Kanakubo

arxiv:1409.8622 v2 · 2014-09-30 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPXW2HSME7PW7467QZZCNMDC4R}

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	2026-05-18T02:18:04.054877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ef6d1e4c27df6ff3df867226b062e4727a5f3f5ca215424ff5492b781c15ac

Aliases

arxiv: 1409.8622 · arxiv_version: 1409.8622v2 · doi: 10.48550/arxiv.1409.8622 · pith_short_12: MPXW2HSME7PW · pith_short_16: MPXW2HSME7PW7467 · pith_short_8: MPXW2HSM

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/MPXW2HSME7PW7467QZZCNMDC4R \
  | 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: 63ef6d1e4c27df6ff3df867226b062e4727a5f3f5ca215424ff5492b781c15ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e1ea71e2270686adb6075f19f849f87e9cba6ed64ca23ef11acc70100e5b2fb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-09-30T16:36:02Z",
    "title_canon_sha256": "442a4ceb47fb2cf378d52594ff55570a694df854ffb2aede89bb715d94d2c234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8622",
    "kind": "arxiv",
    "version": 2
  }
}