Pith Number

pith:WWMFLDKA

pith:2017:WWMFLDKAWNMI4RFEBRHKQFJHRI

not attested not anchored not stored refs pending

Vanishing of Littlewood-Richardson polynomials is in P

Alexander Yong, Anshul Adve, Colleen Robichaux

arxiv:1708.04228 v1 · 2017-08-14 · math.CO · cs.CC · 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{WWMFLDKAWNMI4RFEBRHKQFJHRI}

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	2026-05-17T23:45:26.253240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b598558d40b3588e44a40c4ea815278a3b4c38c8ad5156ad0f6732a6885b645a

Aliases

arxiv: 1708.04228 · arxiv_version: 1708.04228v1 · doi: 10.48550/arxiv.1708.04228 · pith_short_12: WWMFLDKAWNMI · pith_short_16: WWMFLDKAWNMI4RFE · pith_short_8: WWMFLDKA

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/WWMFLDKAWNMI4RFEBRHKQFJHRI \
  | 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: b598558d40b3588e44a40c4ea815278a3b4c38c8ad5156ad0f6732a6885b645a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bba24f64f4a2bb25dbbf1e2acb4c2ce9bcf155a24c21737abd1a3e3d7dff868b",
    "cross_cats_sorted": [
      "cs.CC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-14T17:50:21Z",
    "title_canon_sha256": "6cf4d17116ec57bff5e97fdbd2aa79b432371734d863817d9ef4dfbea6f58e24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04228",
    "kind": "arxiv",
    "version": 1
  }
}