Pith Number

pith:CROBEISP

pith:2000:CROBEISPI3B7EPWALRW432HQ5O

not attested not anchored not stored refs pending

Combinatorial R matrices for a family of crystals : B^{(1)}_n, D^{(1)}_n, A^{(2)}_{2n} and D^{(2)}_{n+1} cases

Atsuo Kuniba, Goro Hatayama, Masato Okado, Taichiro Takagi

arxiv:math/0012247 v1 · 2000-12-26 · 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{CROBEISPI3B7EPWALRW432HQ5O}

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	2026-05-18T02:42:29.436274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145c12224f46c3f23ec05c6dcde8f0ebb75b56a456bc2d824599fbf910382e90

Aliases

arxiv: math/0012247 · arxiv_version: math/0012247v1 · doi: 10.48550/arxiv.math/0012247 · pith_short_12: CROBEISPI3B7 · pith_short_16: CROBEISPI3B7EPWA · pith_short_8: CROBEISP

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/CROBEISPI3B7EPWALRW432HQ5O \
  | 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: 145c12224f46c3f23ec05c6dcde8f0ebb75b56a456bc2d824599fbf910382e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af20fc7b42f310d2bb30938679e6ab3fd7bcfd5b2589d56e83bc3702e4a237cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-12-26T10:08:16Z",
    "title_canon_sha256": "266b224fb43ec8d6989016391ab42259e43e3254cb3e6f0380b371cd88a6dc6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012247",
    "kind": "arxiv",
    "version": 1
  }
}