Pith Number

pith:IPGQ7LT4

pith:2026:IPGQ7LT4MIB4FYQDISLABPC4AX

not attested not anchored not stored refs pending

Correlation inequalities for Schur positivity

Daniel Soskin, Hong Chen, Igor Pak, Swee Hong Chan

arxiv:2606.06688 v1 · 2026-06-04 · 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{IPGQ7LT4MIB4FYQDISLABPC4AX}

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	2026-06-08T01:04:22.613274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43cd0fae7c6203c2e203449600bc5c05ecbc7953212e24c3e8afd1248569e2f5

Aliases

arxiv: 2606.06688 · arxiv_version: 2606.06688v1 · doi: 10.48550/arxiv.2606.06688 · pith_short_12: IPGQ7LT4MIB4 · pith_short_16: IPGQ7LT4MIB4FYQD · pith_short_8: IPGQ7LT4

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/IPGQ7LT4MIB4FYQDISLABPC4AX \
  | 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: 43cd0fae7c6203c2e203449600bc5c05ecbc7953212e24c3e8afd1248569e2f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a86706c42dad8b1acb5c0e512c601cc8748b5c12e4074b776fd68c7e07f6b2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-04T20:09:45Z",
    "title_canon_sha256": "9645b93d6007d9a1b4702164f2461d6d3d1c01e95e5107a0414624d94233d813"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06688",
    "kind": "arxiv",
    "version": 1
  }
}