Pith Number

pith:DGMLKZVE

pith:2015:DGMLKZVEH2ZKDC45NXM7QRP366

not attested not anchored not stored refs pending

Proof of Stembridge's conjecture on stability of Kronecker coefficients

Andrew Snowden, Steven V Sam

arxiv:1501.00333 v2 · 2015-01-02 · 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{DGMLKZVEH2ZKDC45NXM7QRP366}

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	2026-05-18T01:23:16.697694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1998b566a43eb2a18b9d6dd9f845fbf78d7b9209ab0021d70b05194e095742ab

Aliases

arxiv: 1501.00333 · arxiv_version: 1501.00333v2 · doi: 10.48550/arxiv.1501.00333 · pith_short_12: DGMLKZVEH2ZK · pith_short_16: DGMLKZVEH2ZKDC45 · pith_short_8: DGMLKZVE

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/DGMLKZVEH2ZKDC45NXM7QRP366 \
  | 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: 1998b566a43eb2a18b9d6dd9f845fbf78d7b9209ab0021d70b05194e095742ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdfb57432a9620e6117809e2f881f6937a26058125277360f8159d4d15915bc5",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-02T01:32:24Z",
    "title_canon_sha256": "a13a9fd59d78884ac509ed609fcc7891d1d61319f9e84e6a36aa8a213a77985f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00333",
    "kind": "arxiv",
    "version": 2
  }
}