Pith Number

pith:PV22FDPX

pith:2026:PV22FDPXSKUPVYXBEHREAULOMQ

not attested not anchored not stored refs pending

A counterexample to the claw-free Schur-positivity conjecture

Jitendra Prajapati

arxiv:2607.26364 v1 · 2026-07-29 · 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{PV22FDPXSKUPVYXBEHREAULOMQ}

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	2026-07-30T01:18:12.614815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

7d75a28df792a8fae2e121e240516e64390c7198d0b104f1b90f1e44844a8d6b

Aliases

arxiv: 2607.26364 · arxiv_version: 2607.26364v1 · doi: 10.48550/arxiv.2607.26364 · pith_short_12: PV22FDPXSKUP · pith_short_16: PV22FDPXSKUPVYXB · pith_short_8: PV22FDPX

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/PV22FDPXSKUPVYXBEHREAULOMQ \
  | 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: 7d75a28df792a8fae2e121e240516e64390c7198d0b104f1b90f1e44844a8d6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bbee84782f33dceb44ffedf45a08944d10e05921be7a28c570c0dd7f5dba844",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-29T00:41:17Z",
    "title_canon_sha256": "bec4a53373ff94b3ed721c70a76860556e0eb927eb7e973dd2027e591d122079"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26364",
    "kind": "arxiv",
    "version": 1
  }
}