Pith Number

pith:OLJC4PFL

pith:2017:OLJC4PFLDX4XZMLVXW4KBLC2EB

not attested not anchored not stored refs pending

Higher Order Tur\'an Inequalities for the Partition Function

Dennis X.Q. Jia, Larry X.W. Wang, William Y.C. Chen

arxiv:1706.10245 v1 · 2017-06-30 · math.CO · 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{OLJC4PFLDX4XZMLVXW4KBLC2EB}

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	2026-05-18T00:41:09.022751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d22e3cab1df97cb175bdb8a0ac5a207c2c8cb350507caa5e8d5ca329e92e1c

Aliases

arxiv: 1706.10245 · arxiv_version: 1706.10245v1 · doi: 10.48550/arxiv.1706.10245 · pith_short_12: OLJC4PFLDX4X · pith_short_16: OLJC4PFLDX4XZMLV · pith_short_8: OLJC4PFL

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/OLJC4PFLDX4XZMLVXW4KBLC2EB \
  | 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: 72d22e3cab1df97cb175bdb8a0ac5a207c2c8cb350507caa5e8d5ca329e92e1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335c5ee6b0483cede2c6a1f611fde6f0076ccd612c7ee08b4f998966963100aa",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-30T15:45:40Z",
    "title_canon_sha256": "889d4849bec90a58a15f6ec23ee66a13553fbb9f9739da900c56246ae81bf8bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.10245",
    "kind": "arxiv",
    "version": 1
  }
}