Pith Number

pith:ZYXRJOTD

pith:2014:ZYXRJOTDGIXR6XFU7U5CGXEJTE

not attested not anchored not stored refs pending

Inequalities involving the generating function for the number of partitions into odd parts

Cristina Ballantine, Mircea Merca

arxiv:1407.5552 v2 · 2014-07-21 · 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{ZYXRJOTDGIXR6XFU7U5CGXEJTE}

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	2026-05-18T02:45:48.299932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce2f14ba63322f1f5cb4fd3a235c89992cba9934657c3373f912ce1001aa0d43

Aliases

arxiv: 1407.5552 · arxiv_version: 1407.5552v2 · doi: 10.48550/arxiv.1407.5552 · pith_short_12: ZYXRJOTDGIXR · pith_short_16: ZYXRJOTDGIXR6XFU · pith_short_8: ZYXRJOTD

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/ZYXRJOTDGIXR6XFU7U5CGXEJTE \
  | 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: ce2f14ba63322f1f5cb4fd3a235c89992cba9934657c3373f912ce1001aa0d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d11cd714471a2d55212c273f284f73fd86ae0bd05e28905d7525f75788b033",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-21T16:27:22Z",
    "title_canon_sha256": "a170119fcbac6070f7529c5dcc5cc869ecd139512096b3a2ff64a447ad6a5cb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5552",
    "kind": "arxiv",
    "version": 2
  }
}