Pith Number

pith:MUCPUUSY

pith:2017:MUCPUUSY7TTO6BKUZFKG33G3NT

not attested not anchored not stored refs pending

On partitions with even parts below odd parts

Shane Chern

arxiv:1710.08507 v1 · 2017-10-23 · 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{MUCPUUSY7TTO6BKUZFKG33G3NT}

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	2026-05-18T00:32:15.855651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6504fa5258fce6ef0554c9546decdb6cf1eb061551a3108979b528b4c06a26e7

Aliases

arxiv: 1710.08507 · arxiv_version: 1710.08507v1 · doi: 10.48550/arxiv.1710.08507 · pith_short_12: MUCPUUSY7TTO · pith_short_16: MUCPUUSY7TTO6BKU · pith_short_8: MUCPUUSY

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/MUCPUUSY7TTO6BKUZFKG33G3NT \
  | 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: 6504fa5258fce6ef0554c9546decdb6cf1eb061551a3108979b528b4c06a26e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b55b6165d19c4acf22cebd0b18f15d814587559211d53b8a46351c6bd802e3bc",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-23T21:03:23Z",
    "title_canon_sha256": "1f2bc1bb1ae97d20d74a956d2ad3bd121eb5284111a0274a71d16a47393da9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08507",
    "kind": "arxiv",
    "version": 1
  }
}