Pith Number

pith:64YOMALY

pith:2015:64YOMALYG3ZLHQKXUDGFUG67GX

not attested not anchored not stored refs pending

Remarks on quantum unipotent subgroup and dual canonical basis

Yoshiyuki Kimura

arxiv:1506.07912 v1 · 2015-06-25 · math.QA · 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{64YOMALYG3ZLHQKXUDGFUG67GX}

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	2026-05-18T00:55:25.737870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f730e6017836f2b3c157a0cc5a1bdf35ee2b5b5c48bd27c6fe06b2b9ba54bda8

Aliases

arxiv: 1506.07912 · arxiv_version: 1506.07912v1 · doi: 10.48550/arxiv.1506.07912 · pith_short_12: 64YOMALYG3ZL · pith_short_16: 64YOMALYG3ZLHQKX · pith_short_8: 64YOMALY

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/64YOMALYG3ZLHQKXUDGFUG67GX \
  | 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: f730e6017836f2b3c157a0cc5a1bdf35ee2b5b5c48bd27c6fe06b2b9ba54bda8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abcccaab7fd078959154d362ccd3558d0341c0bb4f39969b2b456a95df11111c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-06-25T22:22:39Z",
    "title_canon_sha256": "474b13b4c7c12a6e03e75c474dcb1d70144ca905d7897243a0a598c676491af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07912",
    "kind": "arxiv",
    "version": 1
  }
}