Pith Number

pith:JZTIG3OB

pith:2018:JZTIG3OBWHCSIY54RTJIDDZVYQ

not attested not anchored not stored refs pending

Cylindric multipartitions and level-rank duality

Thomas Gerber

arxiv:1809.09519 v1 · 2018-09-25 · 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{JZTIG3OBWHCSIY54RTJIDDZVYQ}

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	2026-05-18T00:04:50.926689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e66836dc1b1c52463bc8cd2818f35c433770d5f8f4a0d10bdc72742ac960852

Aliases

arxiv: 1809.09519 · arxiv_version: 1809.09519v1 · doi: 10.48550/arxiv.1809.09519 · pith_short_12: JZTIG3OBWHCS · pith_short_16: JZTIG3OBWHCSIY54 · pith_short_8: JZTIG3OB

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/JZTIG3OBWHCSIY54RTJIDDZVYQ \
  | 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: 4e66836dc1b1c52463bc8cd2818f35c433770d5f8f4a0d10bdc72742ac960852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f64fb1ee824937b90aac6d151b9a71a224bfbb83d420711ed82970de5eff2c0b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-09-25T14:36:32Z",
    "title_canon_sha256": "38d18c8f60b5726dd663480d37570a1c01911b794678dc550636c795d0a67b47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09519",
    "kind": "arxiv",
    "version": 1
  }
}