Pith Number

pith:JAKDWROC

pith:2014:JAKDWROCF5ZZJZ3B752XJZGCXW

not attested not anchored not stored refs pending

Congruences for Partition Pairs with Conditions

Chris Jennings-Shaffer

arxiv:1408.5061 v2 · 2014-08-21 · 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{JAKDWROCF5ZZJZ3B752XJZGCXW}

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	2026-05-18T02:19:16.678814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48143b45c22f7394e761ff7574e4c2bda905af54e0df714563d2ed0191d42ad2

Aliases

arxiv: 1408.5061 · arxiv_version: 1408.5061v2 · doi: 10.48550/arxiv.1408.5061 · pith_short_12: JAKDWROCF5ZZ · pith_short_16: JAKDWROCF5ZZJZ3B · pith_short_8: JAKDWROC

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/JAKDWROCF5ZZJZ3B752XJZGCXW \
  | 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: 48143b45c22f7394e761ff7574e4c2bda905af54e0df714563d2ed0191d42ad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db0a2ae4897bc5c2882e3368dccf3238652bfea4a6b03eb78678a7abfc2cb830",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-08-21T16:53:16Z",
    "title_canon_sha256": "8cadde6948a4e360bb164b6f53416d76c1b96e7316f18b637e469ea7fe77bd7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5061",
    "kind": "arxiv",
    "version": 2
  }
}