Pith Number

pith:7RFMTHHG

pith:2019:7RFMTHHGOCO4W5AZDU6OPK7FCN

not attested not anchored not stored refs pending

Ramanujan type of congruences modulo m for (l, m)-regular bipartitions

T. Kathiravan

arxiv:1907.13450 v2 · 2019-07-31 · 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{7RFMTHHGOCO4W5AZDU6OPK7FCN}

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.

Cited by

1 paper in Pith

Some congruences for $(s,t)$-regular bipartitions modulo $t$

Receipt and verification

First computed	2026-07-04T23:52:22.439905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc4ac99ce6709dcb74191d3ce7abe5136262f4a798d1da0e42f89057136258f7

Aliases

arxiv: 1907.13450 · arxiv_version: 1907.13450v2 · doi: 10.48550/arxiv.1907.13450 · pith_short_12: 7RFMTHHGOCO4 · pith_short_16: 7RFMTHHGOCO4W5AZ · pith_short_8: 7RFMTHHG

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/7RFMTHHGOCO4W5AZDU6OPK7FCN \
  | 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: fc4ac99ce6709dcb74191d3ce7abe5136262f4a798d1da0e42f89057136258f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2b42d17c9ffb20578b3e8ebd52adab358661abc7c1230a2ccd1beba6883bfbe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-31T12:30:25Z",
    "title_canon_sha256": "139c6e37208ddd4305012ab848306dedb4f7f66dbbbbb50e461447ed8f8b0bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.13450",
    "kind": "arxiv",
    "version": 2
  }
}