Pith Number

pith:N4HEQDZA

pith:2018:N4HEQDZAMGKDI3SWRHECXMXPH4

not attested not anchored not stored refs pending

Polynomial Identities Implying Capparelli's Partition Theorems

Alexander Berkovich, Ali K. Uncu

arxiv:1807.10974 v4 · 2018-07-28 · 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{N4HEQDZAMGKDI3SWRHECXMXPH4}

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	2026-05-17T23:53:55.748441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f0e480f206194346e5689c82bb2ef3f0387170d1fb1e4f93100cfe1ade4d45a

Aliases

arxiv: 1807.10974 · arxiv_version: 1807.10974v4 · doi: 10.48550/arxiv.1807.10974 · pith_short_12: N4HEQDZAMGKD · pith_short_16: N4HEQDZAMGKDI3SW · pith_short_8: N4HEQDZA

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/N4HEQDZAMGKDI3SWRHECXMXPH4 \
  | 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: 6f0e480f206194346e5689c82bb2ef3f0387170d1fb1e4f93100cfe1ade4d45a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77a5f544319e6c80d4e5a3a058b2618c661a9cd9340569a6523c5e38873a6eb1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-07-28T20:25:58Z",
    "title_canon_sha256": "bb61b200c81b18c4c12852c333847d6f59618ea24cb3eeb94be54539b9f4b31a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10974",
    "kind": "arxiv",
    "version": 4
  }
}