Pith Number

pith:3NW7K4RQ

pith:2017:3NW7K4RQDXLOJ2T7JOTC6HKIAY

not attested not anchored not stored refs pending

Ramanujan-type congruences for $2$-color partition triples

Chun Wang, Shane Chern

arxiv:1706.05667 v2 · 2017-06-18 · 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{3NW7K4RQDXLOJ2T7JOTC6HKIAY}

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	2026-05-18T00:21:51.164554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db6df572301dd6e4ea7f4ba62f1d48061f1a9b1f30bb5e8240ea1a3e715f7120

Aliases

arxiv: 1706.05667 · arxiv_version: 1706.05667v2 · doi: 10.48550/arxiv.1706.05667 · pith_short_12: 3NW7K4RQDXLO · pith_short_16: 3NW7K4RQDXLOJ2T7 · pith_short_8: 3NW7K4RQ

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/3NW7K4RQDXLOJ2T7JOTC6HKIAY \
  | 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: db6df572301dd6e4ea7f4ba62f1d48061f1a9b1f30bb5e8240ea1a3e715f7120

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4849be5c9f2f139d2de2a4dfd9c3489ec7c1c6de91ced9fa41c2294b25714922",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-18T15:11:24Z",
    "title_canon_sha256": "a8ce807d2984a912f21af344cf9eb4c2764050b1975573e202a5f7e15be75bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05667",
    "kind": "arxiv",
    "version": 2
  }
}