Pith Number

pith:ZMNQ7AQ5

pith:2019:ZMNQ7AQ5CAYXLA5BDFPYWPJIP6

not attested not anchored not stored refs pending

Noncommutative LR coefficients and crystal reflection operators

Edward Richmond, Vasu Tewari

arxiv:1905.10942 v1 · 2019-05-27 · 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{ZMNQ7AQ5CAYXLA5BDFPYWPJIP6}

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	2026-05-17T23:45:03.336789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb1b0f821d10317583a1195f8b3d287f8f71b5b4116906dc374edbbd727bca4f

Aliases

arxiv: 1905.10942 · arxiv_version: 1905.10942v1 · doi: 10.48550/arxiv.1905.10942 · pith_short_12: ZMNQ7AQ5CAYX · pith_short_16: ZMNQ7AQ5CAYXLA5B · pith_short_8: ZMNQ7AQ5

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/ZMNQ7AQ5CAYXLA5BDFPYWPJIP6 \
  | 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: cb1b0f821d10317583a1195f8b3d287f8f71b5b4116906dc374edbbd727bca4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b8da2fe53862e3a1ced70ab38b7bdc5b4c64e9e0ca48828bdeafd54b39d0c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-27T02:41:59Z",
    "title_canon_sha256": "82e5c541d02824060f54f4e553358df2ac3335ee36ccb4f7deff793b338e8d1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10942",
    "kind": "arxiv",
    "version": 1
  }
}