Pith Number

pith:XSD76LFU

pith:2026:XSD76LFUE2OEBOKWTOMIMX6KL7

not attested not anchored not stored refs pending

A problem of Andrews and Dhar on partitions

Jujian Zhang, Ken Ono, Simon Mahns

arxiv:2606.05117 v1 · 2026-06-03 · 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{XSD76LFUE2OEBOKWTOMIMX6KL7}

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	2026-06-04T01:10:06.944893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc87ff2cb4269c40b9569b98865fca5fcd27c86cb8892343edf5d9797100e2d4

Aliases

arxiv: 2606.05117 · arxiv_version: 2606.05117v1 · doi: 10.48550/arxiv.2606.05117 · pith_short_12: XSD76LFUE2OE · pith_short_16: XSD76LFUE2OEBOKW · pith_short_8: XSD76LFU

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/XSD76LFUE2OEBOKWTOMIMX6KL7 \
  | 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: bc87ff2cb4269c40b9569b98865fca5fcd27c86cb8892343edf5d9797100e2d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c990b3bf291a3ec4886b556508f14d2d9d857719ae51d12ab99f0e1b8c87871e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-03T17:22:10Z",
    "title_canon_sha256": "b75ff029bb328f84f41d46a1c44413384d8da77d92a356f5f4ad938c491c6882"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05117",
    "kind": "arxiv",
    "version": 1
  }
}