Pith Number

pith:U2VRVZKJ

pith:2015:U2VRVZKJ2CTXDPN2Q4BPQEVTUS

not attested not anchored not stored refs pending

Arithmetic Identities and Congruences for Partition Triples with 3-cores

Liuquan Wang

arxiv:1502.06454 v1 · 2015-02-23 · 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{U2VRVZKJ2CTXDPN2Q4BPQEVTUS}

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	2026-05-18T02:26:29.656989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ab1ae549d0a771bdba8702f812b3a4bf2034d57130818a793037415507aa77

Aliases

arxiv: 1502.06454 · arxiv_version: 1502.06454v1 · doi: 10.48550/arxiv.1502.06454 · pith_short_12: U2VRVZKJ2CTX · pith_short_16: U2VRVZKJ2CTXDPN2 · pith_short_8: U2VRVZKJ

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/U2VRVZKJ2CTXDPN2Q4BPQEVTUS \
  | 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: a6ab1ae549d0a771bdba8702f812b3a4bf2034d57130818a793037415507aa77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfc44438a932752c35d1e13d269973356d56307e6cf79a4b701beedc3c1156ca",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-23T14:58:35Z",
    "title_canon_sha256": "9ea9fd71cc70783ad2b8c96df8acb6e9607c8b8453c9e321f6876257083b5953"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06454",
    "kind": "arxiv",
    "version": 1
  }
}