Pith Number

pith:B7T7KAOH

pith:2014:B7T7KAOH4AGZNP3SZ2D2HJOXG2

not attested not anchored not stored refs pending

Ramanujan-type Congruences for Overpartitions Modulo 16

Lisa H. Sun, Li Zhang, Qing-Hu Hou, William Y.C. Chen

arxiv:1408.1597 v1 · 2014-08-07 · 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{B7T7KAOH4AGZNP3SZ2D2HJOXG2}

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	2026-05-18T02:45:40.110032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fe7f501c7e00d96bf72ce87a3a5d736b3f904ae0b039e99c6a384e192456a2a

Aliases

arxiv: 1408.1597 · arxiv_version: 1408.1597v1 · doi: 10.48550/arxiv.1408.1597 · pith_short_12: B7T7KAOH4AGZ · pith_short_16: B7T7KAOH4AGZNP3S · pith_short_8: B7T7KAOH

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/B7T7KAOH4AGZNP3SZ2D2HJOXG2 \
  | 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: 0fe7f501c7e00d96bf72ce87a3a5d736b3f904ae0b039e99c6a384e192456a2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a19084c544104237993b4ccdd533b5e996b544d767daa28ea84468186bee1930",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-07T14:03:56Z",
    "title_canon_sha256": "812ba76a571d0d17616f1a75b2f6155643685ea71965826102eedb4c183a1cec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1597",
    "kind": "arxiv",
    "version": 1
  }
}