Pith Number

pith:QC6UXA5P

pith:2017:QC6UXA5PAYTUOWMGWC5EK6ZZBL

not attested not anchored not stored refs pending

New congruences for broken $k$-diamond partitions

Dazhao Tang

arxiv:1709.02584 v1 · 2017-09-08 · 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{QC6UXA5PAYTUOWMGWC5EK6ZZBL}

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	2026-05-18T00:35:45.326721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80bd4b83af0627475986b0ba457b390af900faceb3e3556423aeb66956425152

Aliases

arxiv: 1709.02584 · arxiv_version: 1709.02584v1 · doi: 10.48550/arxiv.1709.02584 · pith_short_12: QC6UXA5PAYTU · pith_short_16: QC6UXA5PAYTUOWMG · pith_short_8: QC6UXA5P

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/QC6UXA5PAYTUOWMGWC5EK6ZZBL \
  | 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: 80bd4b83af0627475986b0ba457b390af900faceb3e3556423aeb66956425152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7992cd39b1e937ed7b5e6a9c950981c7d0d3e5728780d23d69a83a4c9a4d071",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-08T08:27:35Z",
    "title_canon_sha256": "fbd2a189819d840130c259161fce6f31d6feb139002d5f984ac677458652b104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02584",
    "kind": "arxiv",
    "version": 1
  }
}