Pith Number

pith:W6O7S2TS

pith:2026:W6O7S2TS2MA6AHIKBTTAQOGKEK

not attested not anchored not stored refs pending

The conflated expression graph for an arbitrary permutation

Jieru Zhu

arxiv:2606.00961 v1 · 2026-05-31 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6O7S2TS2MA6AHIKBTTAQOGKEK}

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	2026-06-02T01:04:10.513495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b79df96a72d301e01d0a0ce60838ca2284412651c5d605751fe686a71d218180

Aliases

arxiv: 2606.00961 · arxiv_version: 2606.00961v1 · doi: 10.48550/arxiv.2606.00961 · pith_short_12: W6O7S2TS2MA6 · pith_short_16: W6O7S2TS2MA6AHIK · pith_short_8: W6O7S2TS

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/W6O7S2TS2MA6AHIKBTTAQOGKEK \
  | 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: b79df96a72d301e01d0a0ce60838ca2284412651c5d605751fe686a71d218180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc28d36cb1d787da1d093a56c60aae9780a735dc379402bd1aa6350eec872e86",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-31T02:30:28Z",
    "title_canon_sha256": "5cc86476fb3a04545bd661e815e5051e6932691aad0e514aae0a43c4b05d1f64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00961",
    "kind": "arxiv",
    "version": 1
  }
}