Pith Number

pith:44J3UG5N

pith:2006:44J3UG5NR3KHNRRURVWLOEIRCY

not attested not anchored not stored refs pending

Symmetric crystals and affine Hecke algebras of type B

Masaki Kashiwara, Naoya Enomoto

arxiv:math/0608079 v3 · 2006-08-03 · math.RT · 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{44J3UG5NR3KHNRRURVWLOEIRCY}

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	2026-05-18T01:23:48.631798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e713ba1bad8ed476c6348d6cb71111160f17a882d0dc4d155ba06d91af67c1f1

Aliases

arxiv: math/0608079 · arxiv_version: math/0608079v3 · doi: 10.48550/arxiv.math/0608079 · pith_short_12: 44J3UG5NR3KH · pith_short_16: 44J3UG5NR3KHNRRU · pith_short_8: 44J3UG5N

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/44J3UG5NR3KHNRRURVWLOEIRCY \
  | 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: e713ba1bad8ed476c6348d6cb71111160f17a882d0dc4d155ba06d91af67c1f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a8063fed088d8225fb38f837da72162adebff2dbc3df121bfd5055c236c503e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-08-03T09:20:09Z",
    "title_canon_sha256": "fd816dd9b07457395e48ed24a82b1a5ee9b257e1d6ae1ab5b0fd15b56083290e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608079",
    "kind": "arxiv",
    "version": 3
  }
}