Pith Number

pith:YXISNQP2

pith:2014:YXISNQP2AGUF2FJO6J2KKHCXTV

not attested not anchored not stored refs pending

Another proof of two modulo 3 congruences and another SPT crank for the number of smallest parts in overpartitions with even smallest part

Chris Jennings-Shaffer

arxiv:1406.5458 v1 · 2014-06-20 · 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{YXISNQP2AGUF2FJO6J2KKHCXTV}

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	2026-05-18T02:49:19.034793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d126c1fa01a85d152ef274a51c579d6b24cb97124c2e1d32e773525a29cd87

Aliases

arxiv: 1406.5458 · arxiv_version: 1406.5458v1 · doi: 10.48550/arxiv.1406.5458 · pith_short_12: YXISNQP2AGUF · pith_short_16: YXISNQP2AGUF2FJO · pith_short_8: YXISNQP2

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/YXISNQP2AGUF2FJO6J2KKHCXTV \
  | 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: c5d126c1fa01a85d152ef274a51c579d6b24cb97124c2e1d32e773525a29cd87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92c472cc3d2ba0a255381a94814dd04a6beea8a83d86f71bb7b0a0fbbb0990a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-20T16:40:18Z",
    "title_canon_sha256": "70c7e6ec20a13cbd5a4bd5c98e640eb0023627d12b496f01f4214690df9b9a09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5458",
    "kind": "arxiv",
    "version": 1
  }
}