Pith Number

pith:SUF7WMBP

pith:2015:SUF7WMBPUXIUYOPMDI5SOTXA6J

not attested not anchored not stored refs pending

A proof of some conjectures of Mao on partition rank inequalities

Elena Iannuzzi, Ethan Alwaise, Holly Swisher

arxiv:1509.06039 v1 · 2015-09-20 · 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{SUF7WMBPUXIUYOPMDI5SOTXA6J}

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	2026-05-18T01:32:36.028798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

950bfb302fa5d14c39ec1a3b274ee0f25f7f7dbaa8ea888a4c7e87541a018ec8

Aliases

arxiv: 1509.06039 · arxiv_version: 1509.06039v1 · doi: 10.48550/arxiv.1509.06039 · pith_short_12: SUF7WMBPUXIU · pith_short_16: SUF7WMBPUXIUYOPM · pith_short_8: SUF7WMBP

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/SUF7WMBPUXIUYOPMDI5SOTXA6J \
  | 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: 950bfb302fa5d14c39ec1a3b274ee0f25f7f7dbaa8ea888a4c7e87541a018ec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e702eb7faa432e7371fa4ad5141aa031231d98562775d164e34ec9503a0a6e27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-20T18:33:21Z",
    "title_canon_sha256": "a1d14a9c3b2dd9389203aa55fc2b17db16aa9e94610ae90ddec4688ff6509485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06039",
    "kind": "arxiv",
    "version": 1
  }
}