Pith Number

pith:I7JLVE7H

pith:2022:I7JLVE7HRC7A4OUALLNAFULXQG

not attested not anchored not stored refs pending

Categorified Crystal Structure on Localized Quantum Coordinate Rings

Toshiki Nakashima

arxiv:2208.08396 v2 · 2022-08-17 · 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{I7JLVE7HRC7A4OUALLNAFULXQG}

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	2026-07-05T05:26:07.802450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47d2ba93e788be0e3a805ada02d17781acb6edc0f966b4fe67e44e557719abe8

Aliases

arxiv: 2208.08396 · arxiv_version: 2208.08396v2 · doi: 10.48550/arxiv.2208.08396 · pith_short_12: I7JLVE7HRC7A · pith_short_16: I7JLVE7HRC7A4OUA · pith_short_8: I7JLVE7H

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/I7JLVE7HRC7A4OUALLNAFULXQG \
  | 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: 47d2ba93e788be0e3a805ada02d17781acb6edc0f966b4fe67e44e557719abe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "424eae46f7add73f8f33e0f2a3cf2d62b3dd68e6984d2a7b28434be840acf048",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2022-08-17T16:40:46Z",
    "title_canon_sha256": "3ad8361caa53e2b4b7ebb96888a3eb8269af6340018066939c8d24989516b2b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.08396",
    "kind": "arxiv",
    "version": 2
  }
}