Pith Number

pith:TMWL3OZL

pith:2019:TMWL3OZLZH5YSXNQBGYGIIAJZB

not attested not anchored not stored refs pending

Combinatorics of canonical bases revisited: String data in type $A$

Bea Schumann, Gleb Koshevoy, Volker Genz

arxiv:1901.04464 v1 · 2019-01-14 · 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{TMWL3OZLZH5YSXNQBGYGIIAJZB}

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	2026-05-17T23:56:25.533279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b2cbdbb2bc9fb895db009b0642009c851c1dd11ee3006e91a35944d20e88eb8

Aliases

arxiv: 1901.04464 · arxiv_version: 1901.04464v1 · doi: 10.48550/arxiv.1901.04464 · pith_short_12: TMWL3OZLZH5Y · pith_short_16: TMWL3OZLZH5YSXNQ · pith_short_8: TMWL3OZL

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/TMWL3OZLZH5YSXNQBGYGIIAJZB \
  | 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: 9b2cbdbb2bc9fb895db009b0642009c851c1dd11ee3006e91a35944d20e88eb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eda86a6d6c21e6d75505357843f95d49d093f0c104be26e2176666baf6e528b7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-01-14T18:55:51Z",
    "title_canon_sha256": "787e439342b5a8ef3a243b309ef73dea61238939f35d8d0f53fd9797f1eb0890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04464",
    "kind": "arxiv",
    "version": 1
  }
}