Pith Number

pith:VPN3XT3A

pith:2018:VPN3XT3AOJS7PG3M3EHL2OKVGO

not attested not anchored not stored refs pending

Elementary proof of congruences modulo 25 for broken $k$-diamond partitions

Dazhao Tang, Shane Chern

arxiv:1807.01890 v1 · 2018-07-05 · 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{VPN3XT3AOJS7PG3M3EHL2OKVGO}

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	2026-05-18T00:11:24.786912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdbbbcf607265f79b6cd90ebd395533aa3793f70e74443a4a5a03228d150a08

Aliases

arxiv: 1807.01890 · arxiv_version: 1807.01890v1 · doi: 10.48550/arxiv.1807.01890 · pith_short_12: VPN3XT3AOJS7 · pith_short_16: VPN3XT3AOJS7PG3M · pith_short_8: VPN3XT3A

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/VPN3XT3AOJS7PG3M3EHL2OKVGO \
  | 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: abdbbbcf607265f79b6cd90ebd395533aa3793f70e74443a4a5a03228d150a08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "576c0b8784ffdbe9133c5cd2dc374dc4f1c1b683fca660c25e6c883ab9c8ee95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-05T08:18:22Z",
    "title_canon_sha256": "b15ae75502d8489341aa5e13fcfdcb145499acc42e04284eee8176f44c721211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01890",
    "kind": "arxiv",
    "version": 1
  }
}