Pith Number

pith:GK6JB4RC

pith:2020:GK6JB4RCPGXQMTCQCNKWDELW2R

not attested not anchored not stored refs pending

Newton-Okounkov polytopes of Schubert varieties arising from cluster structures

Hironori Oya, Naoki Fujita

arxiv:2002.09912 v3 · 2020-02-23 · math.RT · math.AG · 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{GK6JB4RCPGXQMTCQCNKWDELW2R}

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

Crystals and quantum twist automorphisms

Receipt and verification

First computed	2026-07-05T11:42:17.980095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32bc90f22279af064c501355619176d44a76c156699a64150687830dc1c7ee68

Aliases

arxiv: 2002.09912 · arxiv_version: 2002.09912v3 · doi: 10.48550/arxiv.2002.09912 · pith_short_12: GK6JB4RCPGXQ · pith_short_16: GK6JB4RCPGXQMTCQ · pith_short_8: GK6JB4RC

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/GK6JB4RCPGXQMTCQCNKWDELW2R \
  | 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: 32bc90f22279af064c501355619176d44a76c156699a64150687830dc1c7ee68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9be0e2e1f0a48757b5fdc3ba29b0167ce1dfe1d24f5c70987f77543514713b73",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2020-02-23T14:21:51Z",
    "title_canon_sha256": "773b6fe41a9bc30865f58eb6c028e765afe32463e6f9817d69fd2c42964bbca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.09912",
    "kind": "arxiv",
    "version": 3
  }
}