Pith Number

pith:XYREMQIL

pith:2026:XYREMQILJASR5UCBM6N7AUH7LB

not attested not anchored not stored refs pending

On a Schur-positive function

Peter J. McNamara

arxiv:2607.28682 v1 · 2026-07-30 · math.CO · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYREMQILJASR5UCBM6N7AUH7LB}

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	2026-08-03T00:12:09.852836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be2246410b48251ed041679bf050ff5868e5006ac956af2a0e09a9a55b4f8958

Aliases

arxiv: 2607.28682 · arxiv_version: 2607.28682v1 · doi: 10.48550/arxiv.2607.28682 · pith_short_12: XYREMQILJASR · pith_short_16: XYREMQILJASR5UCB · pith_short_8: XYREMQIL

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/XYREMQILJASR5UCBM6N7AUH7LB \
  | 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: be2246410b48251ed041679bf050ff5868e5006ac956af2a0e09a9a55b4f8958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2068f7250b442fffbf7c8ba792cfae398b6b192aa4dd2743eca3271911f8c61",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-30T01:46:15Z",
    "title_canon_sha256": "16d1acafc720275c799addbe983aa663534dcd61174d7bb84c5ec789b4cdfa9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28682",
    "kind": "arxiv",
    "version": 1
  }
}