Pith Number

pith:HZMQPUJS

pith:2006:HZMQPUJSK5XAUPWWEBASK4AV5E

not attested not anchored not stored refs pending

Combinatorics of $A_2$-crystals

A.V. Karzanov, G.A. Koshevoy, V.I. Danilov

arxiv:math/0604333 v1 · 2006-04-14 · math.RT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZMQPUJSK5XAUPWWEBASK4AV5E}

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	2026-05-18T04:35:57.832470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e5907d132576e0a3ed62041257015e93fcdc62decffd95267453b49540700c9

Aliases

arxiv: math/0604333 · arxiv_version: math/0604333v1 · doi: 10.48550/arxiv.math/0604333 · pith_short_12: HZMQPUJSK5XA · pith_short_16: HZMQPUJSK5XAUPWW · pith_short_8: HZMQPUJS

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/HZMQPUJSK5XAUPWWEBASK4AV5E \
  | 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: 3e5907d132576e0a3ed62041257015e93fcdc62decffd95267453b49540700c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa64e55db87cce963fba604baa162feb9c427ebcf879a7479bea817c28669fb0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2006-04-14T10:09:33Z",
    "title_canon_sha256": "a470802f31a40ebb0f4e347e94c0af8fbb058a36f199d6af7f80e894673f9a3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604333",
    "kind": "arxiv",
    "version": 1
  }
}