Pith Number

pith:5BTQCL5C

pith:2014:5BTQCL5CBOWVOSK7L5NJUYHORW

not attested not anchored not stored refs pending

The symplectic plactic monoid, crystals, and MV cycles

Jacinta Torres

arxiv:1407.5015 v2 · 2014-07-18 · math.RT · 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{5BTQCL5CBOWVOSK7L5NJUYHORW}

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	2026-05-18T00:52:09.668286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e867012fa20bad57495f5f5a9a60ee8d9c04face54e13a292320c34d3edf03d6

Aliases

arxiv: 1407.5015 · arxiv_version: 1407.5015v2 · doi: 10.48550/arxiv.1407.5015 · pith_short_12: 5BTQCL5CBOWV · pith_short_16: 5BTQCL5CBOWVOSK7 · pith_short_8: 5BTQCL5C

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/5BTQCL5CBOWVOSK7L5NJUYHORW \
  | 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: e867012fa20bad57495f5f5a9a60ee8d9c04face54e13a292320c34d3edf03d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdcfe82958a502bfaf61d66b3af999c9f70f2bd9a356468df1033aec8390eddf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-07-18T14:46:30Z",
    "title_canon_sha256": "10f38c84c206076688d94a6883022aeda4f1524a1973c22eb5de7b67b02f8ab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5015",
    "kind": "arxiv",
    "version": 2
  }
}