Pith Number

pith:E5EJPQUM

pith:2003:E5EJPQUMMEFNE4GH73RWUUI73K

not attested not anchored not stored refs pending

Lattice path combinatorics and asymptotics of multiplicities of weights in tensor powers

Steve Zelditch, Tatsuya Tate

arxiv:math/0305251 v1 · 2003-05-17 · 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{E5EJPQUMMEFNE4GH73RWUUI73K}

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	2026-05-18T04:08:43.058388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

274897c28c610ad270c7fee36a511fda9941aa01ce53f4233077614fe1e6da32

Aliases

arxiv: math/0305251 · arxiv_version: math/0305251v1 · doi: 10.48550/arxiv.math/0305251 · pith_short_12: E5EJPQUMMEFN · pith_short_16: E5EJPQUMMEFNE4GH · pith_short_8: E5EJPQUM

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/E5EJPQUMMEFNE4GH73RWUUI73K \
  | 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: 274897c28c610ad270c7fee36a511fda9941aa01ce53f4233077614fe1e6da32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068285523ff824500cddf3acd4d137454c61bb2a220b49839e533bdf153a7586",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2003-05-17T17:30:13Z",
    "title_canon_sha256": "28051e5f1ee1194cf5d407f16ff9efa8a1bd937e64c5b459d4fbaf62b0be485a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305251",
    "kind": "arxiv",
    "version": 1
  }
}