Pith Number

pith:FXKTY2CG

pith:2016:FXKTY2CGAG2HVJXXYLYMBK5LDV

not attested not anchored not stored refs pending

Combinatorics of canonical bases revisited: Type A

Bea Schumann, Gleb Koshevoy, Volker Genz

arxiv:1611.03465 v2 · 2016-11-10 · math.RT · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FXKTY2CGAG2HVJXXYLYMBK5LDV}

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	2026-05-18T00:34:10.224277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dd53c684601b47aa6f7c2f0c0abab1d6687784e5c9265c3dc196eca62073bbd

Aliases

arxiv: 1611.03465 · arxiv_version: 1611.03465v2 · doi: 10.48550/arxiv.1611.03465 · pith_short_12: FXKTY2CGAG2H · pith_short_16: FXKTY2CGAG2HVJXX · pith_short_8: FXKTY2CG

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/FXKTY2CGAG2HVJXXYLYMBK5LDV \
  | 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: 2dd53c684601b47aa6f7c2f0c0abab1d6687784e5c9265c3dc196eca62073bbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1766f996acf1101b9f23f4b7539f0a8ffcd96a85c9ef9491842939304687243f",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-11-10T20:10:57Z",
    "title_canon_sha256": "f9ab272e2c5e806d7582da88a83609e6c52e98dd726c3c66d486974f9ccbf317"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03465",
    "kind": "arxiv",
    "version": 2
  }
}