Pith Number

pith:6LCPQQIK

pith:2021:6LCPQQIK5CUD6W7CRVEYWQ3XZT

not attested not anchored not stored refs pending

Partitions With Designated Summands Not Divisible by $2^l$, $2$, and $3^l$ Modulo $2$, $4$, and $3$

Cordell Hammon, Daniel Herden, Henry Ickes, Indalecio Ruiz, Joel Henningsen, Jonathan Stanfill, Mark R. Sepanski

arxiv:2101.04058 v1 · 2021-01-11 · 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{6LCPQQIK5CUD6W7CRVEYWQ3XZT}

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	2026-07-05T08:49:21.842194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2c4f8410ae8a83f5be28d498b4377cce68720705e825cfff6fda2129a358cd7

Aliases

arxiv: 2101.04058 · arxiv_version: 2101.04058v1 · doi: 10.48550/arxiv.2101.04058 · pith_short_12: 6LCPQQIK5CUD · pith_short_16: 6LCPQQIK5CUD6W7C · pith_short_8: 6LCPQQIK

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/6LCPQQIK5CUD6W7CRVEYWQ3XZT \
  | 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: f2c4f8410ae8a83f5be28d498b4377cce68720705e825cfff6fda2129a358cd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b533f92a84ff01ef81b1f06c03285cebcbc89ed557827b4ebf6b549b051c889",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-01-11T17:43:02Z",
    "title_canon_sha256": "761eb92568fab723a1ca1d2b44b862c3ac9c8b7ca992e75882e764d961bad743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.04058",
    "kind": "arxiv",
    "version": 1
  }
}