Pith Number

pith:XVZO6Q7Y

pith:2019:XVZO6Q7Y2BG75EFYV4QADYYBP6

not attested not anchored not stored refs pending

On $p$-adic valuations of certain $m$ colored $p$-ary partition functions

B{\l}a\.zej \.Zmija, Maciej Ulas

arxiv:1904.03398 v1 · 2019-04-06 · math.NT · 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{XVZO6Q7Y2BG75EFYV4QADYYBP6}

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	2026-05-17T23:49:13.557680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd72ef43f8d04dfe90b8af2001e3017f91771663d5bebeeaa493a85a7a5d52f8

Aliases

arxiv: 1904.03398 · arxiv_version: 1904.03398v1 · doi: 10.48550/arxiv.1904.03398 · pith_short_12: XVZO6Q7Y2BG7 · pith_short_16: XVZO6Q7Y2BG75EFY · pith_short_8: XVZO6Q7Y

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/XVZO6Q7Y2BG75EFYV4QADYYBP6 \
  | 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: bd72ef43f8d04dfe90b8af2001e3017f91771663d5bebeeaa493a85a7a5d52f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c359f2b93ec1693971660a1210aafdea255b79b0d5d889404938a691845869da",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-06T09:31:01Z",
    "title_canon_sha256": "0eaf54bf48ffa7c93388ddb99d4ba6f2c7a506feeaf600b65cf6d4dd80568f0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03398",
    "kind": "arxiv",
    "version": 1
  }
}