Pith Number

pith:VRYCMPG5

pith:2015:VRYCMPG5R2SY4UBMIJHROTPC65

not attested not anchored not stored refs pending

Congruences on the Number of Restricted $m$-ary Partitions

Hai-Tao Jin, Li Zhang, Qing-Hu Hou, Yan-Ping Mu

arxiv:1512.05601 v1 · 2015-12-17 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRYCMPG5R2SY4UBMIJHROTPC65}

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	2026-05-18T01:24:09.670425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac70263cdd8ea58e502c424f174de2f75a333c4a08f464ca55ccce6ad41efdf1

Aliases

arxiv: 1512.05601 · arxiv_version: 1512.05601v1 · doi: 10.48550/arxiv.1512.05601 · pith_short_12: VRYCMPG5R2SY · pith_short_16: VRYCMPG5R2SY4UBM · pith_short_8: VRYCMPG5

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/VRYCMPG5R2SY4UBMIJHROTPC65 \
  | 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: ac70263cdd8ea58e502c424f174de2f75a333c4a08f464ca55ccce6ad41efdf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52732a101dd0cf4b060e95167713f4cf6d0617564d0008c130d5f79cfce5366b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-17T14:40:11Z",
    "title_canon_sha256": "85410715a5f2f4eac8ba15d616e853f22101d24f2f82614e1ea55f5d34fe5600"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05601",
    "kind": "arxiv",
    "version": 1
  }
}