Pith Number

pith:XZZ7POXX

pith:2016:XZZ7POXXTZBYEOKEV54M5I63HN

not attested not anchored not stored refs pending

Crystallizing the hypoplactic monoid: from quasi-Kashiwara operators to the Robinson--Schensted--Knuth-type correspondence for quasi-ribbon tableaux

Alan J. Cain, Ant\'onio Malheiro

arxiv:1601.06390 v2 · 2016-01-24 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZZ7POXXTZBYEOKEV54M5I63HN}

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	2026-05-18T00:41:23.254007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be73f7baf79e43823944af78cea3db3b7f8847fe845047c3480e2d0850ec6f07

Aliases

arxiv: 1601.06390 · arxiv_version: 1601.06390v2 · doi: 10.48550/arxiv.1601.06390 · pith_short_12: XZZ7POXXTZBY · pith_short_16: XZZ7POXXTZBYEOKE · pith_short_8: XZZ7POXX

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/XZZ7POXXTZBYEOKEV54M5I63HN \
  | 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: be73f7baf79e43823944af78cea3db3b7f8847fe845047c3480e2d0850ec6f07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dc698705ca5a70b7a11a3bb45d76f2219fd96f85d53cda826c173ee69c170d2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-24T14:46:57Z",
    "title_canon_sha256": "4109a411ed8786f91740bfeaeea3916fd171a1db678c32de185dfefa0ed5d742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06390",
    "kind": "arxiv",
    "version": 2
  }
}