Pith Number

pith:K57NNLCP

pith:2017:K57NNLCPUMU2GSBKDKNMCQE4KM

not attested not anchored not stored refs pending

A curious identity and its applications to partitions with bounded part differences

Shane Chern

arxiv:1707.00801 v2 · 2017-07-04 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K57NNLCPUMU2GSBKDKNMCQE4KM}

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	2026-05-18T00:15:30.694120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

577ed6ac4fa329a3482a1a9ac1409c5314b359eb478588a0f5ea5ec97b0bc477

Aliases

arxiv: 1707.00801 · arxiv_version: 1707.00801v2 · doi: 10.48550/arxiv.1707.00801 · pith_short_12: K57NNLCPUMU2 · pith_short_16: K57NNLCPUMU2GSBK · pith_short_8: K57NNLCP

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/K57NNLCPUMU2GSBKDKNMCQE4KM \
  | 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: 577ed6ac4fa329a3482a1a9ac1409c5314b359eb478588a0f5ea5ec97b0bc477

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44fc2aa00e9283626a3aacdab70b3f6cc12c8dac2486131bbc15c829ce398ae2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-04T02:32:37Z",
    "title_canon_sha256": "6f027517552dfc4efcb419b22f9e2af43fd975fc8e75f945cc64b54846ae2241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00801",
    "kind": "arxiv",
    "version": 2
  }
}