Pith Number

pith:2ZOKLWFS

pith:2022:2ZOKLWFS6YDB76YOV2ETESN7JO

not attested not anchored not stored refs pending

Biases among Congruence Classes for Parts in k-regular Partitions

Faye Jackson, Misheel Otgonbayar

arxiv:2207.04352 v1 · 2022-07-10 · 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{2ZOKLWFS6YDB76YOV2ETESN7JO}

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	2026-07-05T04:38:58.441404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65ca5d8b2f6061ffb0eae893249bf4bbbbc3c7961eceaafaa76d56db0a2ba61

Aliases

arxiv: 2207.04352 · arxiv_version: 2207.04352v1 · doi: 10.48550/arxiv.2207.04352 · pith_short_12: 2ZOKLWFS6YDB · pith_short_16: 2ZOKLWFS6YDB76YO · pith_short_8: 2ZOKLWFS

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/2ZOKLWFS6YDB76YOV2ETESN7JO \
  | 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: d65ca5d8b2f6061ffb0eae893249bf4bbbbc3c7961eceaafaa76d56db0a2ba61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "055e366b18c02576a1b86ced907b6253d7414a5b13ac5e9f8f02b2fcbf344d34",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-10T00:38:37Z",
    "title_canon_sha256": "7226035ca2c5dc62bea2e5a46e2c25a2dcc3e02579c010e95ff5b63ddede2f16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.04352",
    "kind": "arxiv",
    "version": 1
  }
}