Pith Number

pith:Y674J444

pith:2018:Y674J444RNB6PGPAQQ2RLGVOAT

not attested not anchored not stored refs pending

Cyclic sieving, necklaces, and branching rules related to Thrall's problem

Connor Ahlbach, Joshua P. Swanson

arxiv:1808.06043 v1 · 2018-08-18 · 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{Y674J444RNB6PGPAQQ2RLGVOAT}

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	2026-05-18T00:07:46.316647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7bfc4f39c8b43e799e08435159aae04dd675f6ed5b26740908949777cd682dd

Aliases

arxiv: 1808.06043 · arxiv_version: 1808.06043v1 · doi: 10.48550/arxiv.1808.06043 · pith_short_12: Y674J444RNB6 · pith_short_16: Y674J444RNB6PGPA · pith_short_8: Y674J444

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/Y674J444RNB6PGPAQQ2RLGVOAT \
  | 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: c7bfc4f39c8b43e799e08435159aae04dd675f6ed5b26740908949777cd682dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a3fc12b8be8d51001f5b08b10d3fd3618968f2bffc4a8537e87b6e78b85bff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-18T05:22:29Z",
    "title_canon_sha256": "5a870911e58d75d81328bc5e32f37296aab798a33365b3188a610bc0fbaf2547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06043",
    "kind": "arxiv",
    "version": 1
  }
}