Pith Number

pith:Z7AW73Y5

pith:2013:Z7AW73Y5NCZTQYC52KQVRN7RND

not attested not anchored not stored refs pending

Estimating Certain Non-Zero Littlewood-Richardson Coefficients

Hariharan Narayanan

arxiv:1306.4060 v1 · 2013-06-18 · 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{Z7AW73Y5NCZTQYC52KQVRN7RND}

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	2026-05-18T03:20:44.525933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc16fef1d68b338605dd2a158b7f168ecd371da51ba85fedf9bf15bafb2656a

Aliases

arxiv: 1306.4060 · arxiv_version: 1306.4060v1 · doi: 10.48550/arxiv.1306.4060 · pith_short_12: Z7AW73Y5NCZT · pith_short_16: Z7AW73Y5NCZTQYC5 · pith_short_8: Z7AW73Y5

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/Z7AW73Y5NCZTQYC52KQVRN7RND \
  | 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: cfc16fef1d68b338605dd2a158b7f168ecd371da51ba85fedf9bf15bafb2656a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "658ec9199f6d059bc2b0eb80c746085a5d670623c1c4a9e5e138305e84827d5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-18T02:25:08Z",
    "title_canon_sha256": "04b610e59783bdf4899662c4391a29fbab84ef9bacd9c471d1cfb4af63c78a9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4060",
    "kind": "arxiv",
    "version": 1
  }
}