Pith Number

pith:YPIRMEX2

pith:2013:YPIRMEX2LC6JDOU6MY5JID4YEP

not attested not anchored not stored refs pending

On the number of even and odd strings along the over partitions of n

Byungchan Kim, Eunmi Kim, Jeehyeon Seo

arxiv:1309.3669 v4 · 2013-09-14 · 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{YPIRMEX2LC6JDOU6MY5JID4YEP}

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	2026-05-18T00:46:32.334988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d11612fa58bc91ba9e663a940f9823e4a7dcdadd710de6b2325cd4e6771bf1

Aliases

arxiv: 1309.3669 · arxiv_version: 1309.3669v4 · doi: 10.48550/arxiv.1309.3669 · pith_short_12: YPIRMEX2LC6J · pith_short_16: YPIRMEX2LC6JDOU6 · pith_short_8: YPIRMEX2

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/YPIRMEX2LC6JDOU6MY5JID4YEP \
  | 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: c3d11612fa58bc91ba9e663a940f9823e4a7dcdadd710de6b2325cd4e6771bf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8cf71a1d6c21d59933fb371df989a81e7fbe4077f111dbcb232ace1b7c0c363",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-14T13:59:06Z",
    "title_canon_sha256": "cb8c927fe0417be8f40c2f43ccba26a43037c6b36dae7d374945c50bec4aafcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3669",
    "kind": "arxiv",
    "version": 4
  }
}