Pith Number

pith:H656OHH4

pith:2026:H656OHH4RY65L6UEUHTW36V3MH

not attested not anchored not stored refs pending

The Duval--Reiner Conjecture: Counterexamples and the Second Partial-Sum Inequality

Jing Huang

arxiv:2607.20051 v1 · 2026-07-22 · 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{H656OHH4RY65L6UEUHTW36V3MH}

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	2026-07-23T01:24:57.426709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fbbe71cfc8e3dd5fa84a1e76dfabb61c8d3f65c37efcd404cc94de08cb1fb7d

Aliases

arxiv: 2607.20051 · arxiv_version: 2607.20051v1 · doi: 10.48550/arxiv.2607.20051 · pith_short_12: H656OHH4RY65 · pith_short_16: H656OHH4RY65L6UE · pith_short_8: H656OHH4

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/H656OHH4RY65L6UEUHTW36V3MH \
  | 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: 3fbbe71cfc8e3dd5fa84a1e76dfabb61c8d3f65c37efcd404cc94de08cb1fb7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0376fb2d643e78ea9b84213f9cf2a65c97ed9cbef47d75afab7c29560b7c552a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-22T11:49:13Z",
    "title_canon_sha256": "53b7e89aa8540d583c003ccf4dcf87d22e191d35d2ec8848fa3f04ff94fad733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20051",
    "kind": "arxiv",
    "version": 1
  }
}