Pith Number

pith:KER5I5RZ

pith:2012:KER5I5RZZ65ZJG4S4T7C2YKYMB

not attested not anchored not stored refs pending

The Shuffle Algebra Revisited

Andrei Negut

arxiv:1209.3349 v3 · 2012-09-15 · math.QA · 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{KER5I5RZZ65ZJG4S4T7C2YKYMB}

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	2026-05-18T03:01:11.063707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5123d47639cfbb949b92e4fe2d6158606914ffc38b764b6cd917f751fe0b7676

Aliases

arxiv: 1209.3349 · arxiv_version: 1209.3349v3 · doi: 10.48550/arxiv.1209.3349 · pith_short_12: KER5I5RZZ65Z · pith_short_16: KER5I5RZZ65ZJG4S · pith_short_8: KER5I5RZ

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/KER5I5RZZ65ZJG4S4T7C2YKYMB \
  | 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: 5123d47639cfbb949b92e4fe2d6158606914ffc38b764b6cd917f751fe0b7676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5deadbb7be52312921679e97f120df80645d22a66d18e70d40207f909e107e30",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-09-15T02:56:42Z",
    "title_canon_sha256": "ece20552d53073d4fc6d4e23525b357f0e830cbc9b74f252420b44c55a0cc956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3349",
    "kind": "arxiv",
    "version": 3
  }
}