Pith Number

pith:XUTNV3CR

pith:2007:XUTNV3CRKZYRKFUVS3X5KDG27O

not attested not anchored not stored refs pending

($\ell,0)$-Carter partitions, a generating function, and their crystal theoretic interpretation

Chris Berg, Monica Vazirani

arxiv:0712.2075 v3 · 2007-12-13 · math.CO · 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{XUTNV3CRKZYRKFUVS3X5KDG27O}

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	2026-05-18T04:17:25.364936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd26daec51567115169596efd50cdafb96c12b7af08fd09065076d3f74e74a9c

Aliases

arxiv: 0712.2075 · arxiv_version: 0712.2075v3 · doi: 10.48550/arxiv.0712.2075 · pith_short_12: XUTNV3CRKZYR · pith_short_16: XUTNV3CRKZYRKFUV · pith_short_8: XUTNV3CR

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/XUTNV3CRKZYRKFUVS3X5KDG27O \
  | 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: bd26daec51567115169596efd50cdafb96c12b7af08fd09065076d3f74e74a9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9cc8e2d67fc66779f9252b2b87b188db0e15b6c955e3d6be9984319545b3ce0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2007-12-13T00:56:30Z",
    "title_canon_sha256": "6e8dae126dbc4e0a2dba59e13a3c8e57e79e8321e6c898b41f16604484edd98c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.2075",
    "kind": "arxiv",
    "version": 3
  }
}