Pith Number

pith:P6GQOCQG

pith:2020:P6GQOCQGX2AXFL6IZOARBRZ3D7

not attested not anchored not stored refs pending

Counting the parts divisible by k in all the partitions of n whose parts have multiplicity less than k

Cordell C. Hammon, Daniel Herden, Edward L. Smith, Henry Ickes, Indalecio Ruiz, Joel Henningsen, Jonathan Stanfill, Jorge Marchena Menendez, Mark R. Sepanski, Taylor Poe

arxiv:2010.02788 v2 · 2020-10-06 · 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{P6GQOCQGX2AXFL6IZOARBRZ3D7}

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	2026-07-05T08:49:21.727455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f8d070a06be8172afc8cb8110c73b1fcfbdf94b4aacc5c7d8a838ac0e989505

Aliases

arxiv: 2010.02788 · arxiv_version: 2010.02788v2 · doi: 10.48550/arxiv.2010.02788 · pith_short_12: P6GQOCQGX2AX · pith_short_16: P6GQOCQGX2AXFL6I · pith_short_8: P6GQOCQG

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/P6GQOCQGX2AXFL6IZOARBRZ3D7 \
  | 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: 7f8d070a06be8172afc8cb8110c73b1fcfbdf94b4aacc5c7d8a838ac0e989505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86f38c17aacbbbfea088167176f4ffedd953906a877233726900d1fb93627a7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-06T14:58:52Z",
    "title_canon_sha256": "4abbc44fd808d98e7c21c7d6c3a17f66772058bda7de37b0cc0ea2a0eab06039"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.02788",
    "kind": "arxiv",
    "version": 2
  }
}