Pith Number

pith:XHKO4MON

pith:2015:XHKO4MON54SQPMZFMQ4EK7CPX5

not attested not anchored not stored refs pending

A New Companion to Capparelli's Identities

Alexander Berkovich, Ali Kemal Uncu

arxiv:1504.02922 v3 · 2015-04-11 · 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{XHKO4MON54SQPMZFMQ4EK7CPX5}

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	2026-05-18T01:51:49.191383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d4ee31cdef2507b3256438457c4fbf7686372ccc12d80f7ec1bb508bf35797

Aliases

arxiv: 1504.02922 · arxiv_version: 1504.02922v3 · doi: 10.48550/arxiv.1504.02922 · pith_short_12: XHKO4MON54SQ · pith_short_16: XHKO4MON54SQPMZF · pith_short_8: XHKO4MON

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/XHKO4MON54SQPMZFMQ4EK7CPX5 \
  | 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: b9d4ee31cdef2507b3256438457c4fbf7686372ccc12d80f7ec1bb508bf35797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "202995b4207a364dbc10f4f0ffe849b0e7a1f65a7e3b76b4f6f4f1cdaeb2a8db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-11T23:07:15Z",
    "title_canon_sha256": "cfcd029fe4da52966867363ad40f8afd5e830a41d985f6d8b41714135d44cc76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02922",
    "kind": "arxiv",
    "version": 3
  }
}