Pith Number

pith:RUOBJOIZ

pith:2013:RUOBJOIZCPRESUYEEN4RYHOC24

not attested not anchored not stored refs pending

Crystal bases as tuples of integer sequences

Deniz Kus

arxiv:1309.6299 v1 · 2013-09-24 · 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{RUOBJOIZCPRESUYEEN4RYHOC24}

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	2026-05-18T03:12:21.619006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d1c14b91913e249530423791c1dc2d72316063cfc8e15e843da71cbb14e9d28

Aliases

arxiv: 1309.6299 · arxiv_version: 1309.6299v1 · doi: 10.48550/arxiv.1309.6299 · pith_short_12: RUOBJOIZCPRE · pith_short_16: RUOBJOIZCPRESUYE · pith_short_8: RUOBJOIZ

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/RUOBJOIZCPRESUYEEN4RYHOC24 \
  | 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: 8d1c14b91913e249530423791c1dc2d72316063cfc8e15e843da71cbb14e9d28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a49ba1c7bdee376965ef2daec6a6127710adff6da9b6b1e264d4c23f1a5d2bb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-09-24T19:45:41Z",
    "title_canon_sha256": "8c3fe2e9371e01c007d80776cf7a8a88a7ee1204ec81cdb280db828d5e0bd300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6299",
    "kind": "arxiv",
    "version": 1
  }
}