Pith Number

pith:TMJIL6A4

pith:2013:TMJIL6A42L72XFDHHYIIC7OI3L

not attested not anchored not stored refs pending

Decorations on Geometric Crystals and Monomial Realizations of Crystal Bases for Classical Groups

Toshiki Nakashima

arxiv:1301.7301 v1 · 2013-01-30 · 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{TMJIL6A42L72XFDHHYIIC7OI3L}

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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	2026-05-18T03:35:00.674973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b1285f81cd2ffab94673e10817dc8dadc353666276d863fb8534c6dc1371798

Aliases

arxiv: 1301.7301 · arxiv_version: 1301.7301v1 · doi: 10.48550/arxiv.1301.7301 · pith_short_12: TMJIL6A42L72 · pith_short_16: TMJIL6A42L72XFDH · pith_short_8: TMJIL6A4

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/TMJIL6A42L72XFDHHYIIC7OI3L \
  | 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: 9b1285f81cd2ffab94673e10817dc8dadc353666276d863fb8534c6dc1371798

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ae186955045a3e6f52cfeb4d4d668b3e1b45c9f732087582a0735f21d4eed6",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-01-30T17:31:01Z",
    "title_canon_sha256": "f4f4b209b0ba5e84b28ced974b50c24270d2aca441d8a3e8884a095ed2c8d2f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7301",
    "kind": "arxiv",
    "version": 1
  }
}