Pith Number

pith:UFBVPHWU

pith:2012:UFBVPHWUUADH3H4NPYHP66ZCH4

not attested not anchored not stored refs pending

$A_n^{(1)}$-Geometric Crystal corresponding to Dynkin index $i=2$ and its ultra-discretization

Kailash C. Misra, Toshiki Nakashima

arxiv:1209.4565 v1 · 2012-09-20 · 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{UFBVPHWUUADH3H4NPYHP66ZCH4}

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	2026-05-18T03:45:11.305701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a143579ed4a0067d9f8d7e0eff7b223f08c9d988a449bf219e670a1f9237a7dc

Aliases

arxiv: 1209.4565 · arxiv_version: 1209.4565v1 · doi: 10.48550/arxiv.1209.4565 · pith_short_12: UFBVPHWUUADH · pith_short_16: UFBVPHWUUADH3H4N · pith_short_8: UFBVPHWU

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/UFBVPHWUUADH3H4NPYHP66ZCH4 \
  | 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: a143579ed4a0067d9f8d7e0eff7b223f08c9d988a449bf219e670a1f9237a7dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d818d062c46b8fc18abfa76b16ba5d4d596af388e06fe53f06cd22fe93b755e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-09-20T15:24:52Z",
    "title_canon_sha256": "9f5cbc883b79e4b00efbc28c58b00ae68c5aec91f813c7cc3cbe687f6cfba35c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4565",
    "kind": "arxiv",
    "version": 1
  }
}