Pith Number

pith:JCKQBKHR

pith:2019:JCKQBKHRGJ44PD7REA7A4QX5JX

not attested not anchored not stored refs pending

A combinatorial proof of the supper symmetric property of hook length

Masanori Ando

arxiv:1904.00543 v2 · 2019-04-01 · 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{JCKQBKHRGJ44PD7REA7A4QX5JX}

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	2026-05-17T23:49:08.608391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

489500a8f13279c78ff1203e0e42fd4de12d19583b841417f97444312f5f2196

Aliases

arxiv: 1904.00543 · arxiv_version: 1904.00543v2 · doi: 10.48550/arxiv.1904.00543 · pith_short_12: JCKQBKHRGJ44 · pith_short_16: JCKQBKHRGJ44PD7R · pith_short_8: JCKQBKHR

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/JCKQBKHRGJ44PD7REA7A4QX5JX \
  | 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: 489500a8f13279c78ff1203e0e42fd4de12d19583b841417f97444312f5f2196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f484fcb1910baef7bf29f52e34c00bfab9c977769cd46a1cbfefbdb3573e0fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-01T02:55:29Z",
    "title_canon_sha256": "393ce430c768d3652fb043f4a3229bc11eda400f125f6669df43562ce3979388"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00543",
    "kind": "arxiv",
    "version": 2
  }
}