Pith Number

pith:MY5UKQDO

pith:2015:MY5UKQDO2IZO2OYCDXTVVPTGHF

not attested not anchored not stored refs pending

A bijective proof of the hook-length formula for standard immaculate tableaux

Arthur L.B. Yang, Emma L.L. Gao

arxiv:1503.04280 v1 · 2015-03-14 · 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{MY5UKQDO2IZO2OYCDXTVVPTGHF}

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	2026-05-18T02:23:25.577583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

663b45406ed232ed3b021de75abe66395c0eb3a7d8ff14f1a6022a318b435cdf

Aliases

arxiv: 1503.04280 · arxiv_version: 1503.04280v1 · doi: 10.48550/arxiv.1503.04280 · pith_short_12: MY5UKQDO2IZO · pith_short_16: MY5UKQDO2IZO2OYC · pith_short_8: MY5UKQDO

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/MY5UKQDO2IZO2OYCDXTVVPTGHF \
  | 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: 663b45406ed232ed3b021de75abe66395c0eb3a7d8ff14f1a6022a318b435cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75506903f60217ee2553e7379dd47520e6134270450687bb5dea2185b2a04700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-14T08:20:29Z",
    "title_canon_sha256": "9ad19ab3f8d433c765825eec430b0af871944b00c305f9323edbbdefc8823aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04280",
    "kind": "arxiv",
    "version": 1
  }
}