Pith Number

pith:LSVKJ2EJ

pith:2017:LSVKJ2EJOS4VR3SYUQAXEPPQLS

not attested not anchored not stored refs pending

Some Observations on Modulo 5 Congruences for 2-Color Partitions

Sourav Sen Gupta, Suparno Ghoshal

arxiv:1712.09723 v2 · 2017-12-28 · 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{LSVKJ2EJOS4VR3SYUQAXEPPQLS}

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	2026-05-18T00:24:59.259656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5caaa4e88974b958ee58a401723df05c89ae3f564d8dcd61fe325255ce12469f

Aliases

arxiv: 1712.09723 · arxiv_version: 1712.09723v2 · doi: 10.48550/arxiv.1712.09723 · pith_short_12: LSVKJ2EJOS4V · pith_short_16: LSVKJ2EJOS4VR3SY · pith_short_8: LSVKJ2EJ

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/LSVKJ2EJOS4VR3SYUQAXEPPQLS \
  | 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: 5caaa4e88974b958ee58a401723df05c89ae3f564d8dcd61fe325255ce12469f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8527eb8122e2953d1cf8cc9b46bd17df6c4d846b58081bc94d07dc55de7dccbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-12-28T01:08:19Z",
    "title_canon_sha256": "99fee5e4e7bafe938f92c7622d2279c09cb78e9b0694b5f375ac03c1936bea30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09723",
    "kind": "arxiv",
    "version": 2
  }
}