Pith Number

pith:TKJTNVPC

pith:2014:TKJTNVPCDAEGNY5VHYIMFJX7CL

not attested not anchored not stored refs pending

Congruences for the number of partitions and bipartitions with distinct even parts

Haobo Dai

arxiv:1404.5404 v1 · 2014-04-22 · 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{TKJTNVPCDAEGNY5VHYIMFJX7CL}

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	2026-05-18T02:53:31.591958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a9336d5e2180866e3b53e10c2a6ff12dbfec240a5dbcf19c6d754de29a3c9ba

Aliases

arxiv: 1404.5404 · arxiv_version: 1404.5404v1 · doi: 10.48550/arxiv.1404.5404 · pith_short_12: TKJTNVPCDAEG · pith_short_16: TKJTNVPCDAEGNY5V · pith_short_8: TKJTNVPC

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/TKJTNVPCDAEGNY5VHYIMFJX7CL \
  | 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: 9a9336d5e2180866e3b53e10c2a6ff12dbfec240a5dbcf19c6d754de29a3c9ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead20a547d0e8214de24df4488c35178e471f9c2393edfa5f992557ddf818b54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-22T07:40:03Z",
    "title_canon_sha256": "2495bf44f0cfdf9feac1250941e3edbc92508d2177ad6e19b1f400a9c6b57c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5404",
    "kind": "arxiv",
    "version": 1
  }
}