Pith Number

pith:Z6YV5TQC

pith:2019:Z6YV5TQCOCQBUU2ISNUKFGHEXW

not attested not anchored not stored refs pending

A lecture hall theorem for $m$-falling partitions

Ae Ja Yee, Dazhao Tang, Shishuo Fu

arxiv:1902.00228 v1 · 2019-02-01 · 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{Z6YV5TQCOCQBUU2ISNUKFGHEXW}

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	2026-05-17T23:54:57.972008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfb15ece0270a01a53489368a298e4bd9d901d93c62b7c76ac0a40819264f189

Aliases

arxiv: 1902.00228 · arxiv_version: 1902.00228v1 · doi: 10.48550/arxiv.1902.00228 · pith_short_12: Z6YV5TQCOCQB · pith_short_16: Z6YV5TQCOCQBUU2I · pith_short_8: Z6YV5TQC

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/Z6YV5TQCOCQBUU2ISNUKFGHEXW \
  | 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: cfb15ece0270a01a53489368a298e4bd9d901d93c62b7c76ac0a40819264f189

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b8807a596f238f37eb7a225fbaf38cfe3c1425a807291c02948c9a27dbaef8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-01T08:47:16Z",
    "title_canon_sha256": "91018812a6f44a71be8b08448effd176c8d6561964a44fbaa6bcfd1edef74a34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00228",
    "kind": "arxiv",
    "version": 1
  }
}