Pith Number

pith:RQSKM5EL

pith:2014:RQSKM5EL4CN7CKCMBYPWWQLAMK

not attested not anchored not stored refs pending

Crystal monoids \& crystal bases: rewriting systems and biautomatic structures for plactic monoids of types $A_{n}$, $B_{n}$, $C_{n}$, $D_{n}$, and $G_2$

Alan J. Cain, Ant\'onio Malheiro, Robert D. Gray

arxiv:1412.7040 v3 · 2014-12-22 · math.GR · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQSKM5EL4CN7CKCMBYPWWQLAMK}

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	2026-05-17T23:54:27.323006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c24a6748be09bf1284c0e1f6b41606283c0097db7a41639753d815067a09fc3

Aliases

arxiv: 1412.7040 · arxiv_version: 1412.7040v3 · doi: 10.48550/arxiv.1412.7040 · pith_short_12: RQSKM5EL4CN7 · pith_short_16: RQSKM5EL4CN7CKCM · pith_short_8: RQSKM5EL

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/RQSKM5EL4CN7CKCMBYPWWQLAMK \
  | 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: 8c24a6748be09bf1284c0e1f6b41606283c0097db7a41639753d815067a09fc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc7d295f2701c023a9e30010192315d8a20b616fecc65504dc5edec4cfc2f49",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-22T16:21:57Z",
    "title_canon_sha256": "dc14e677d07f99e9080b67094bb083d037dbdb1889719b6873276aa10d72c771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7040",
    "kind": "arxiv",
    "version": 3
  }
}