Pith Number

pith:ED5UCUVX

pith:2016:ED5UCUVXYB36WSJFODAK47KDBG

not attested not anchored not stored refs pending

Orbit Dirichlet series and multiset permutations

Angela Carnevale, Christopher Voll

arxiv:1607.01292 v3 · 2016-07-05 · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ED5UCUVXYB36WSJFODAK47KDBG}

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	2026-05-18T00:31:13.893030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20fb4152b7c077eb492570c0ae7d43098f802a47c23dfda8380f59d1416963fd

Aliases

arxiv: 1607.01292 · arxiv_version: 1607.01292v3 · doi: 10.48550/arxiv.1607.01292 · pith_short_12: ED5UCUVXYB36 · pith_short_16: ED5UCUVXYB36WSJF · pith_short_8: ED5UCUVX

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/ED5UCUVXYB36WSJFODAK47KDBG \
  | 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: 20fb4152b7c077eb492570c0ae7d43098f802a47c23dfda8380f59d1416963fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "028802c4106eb5e85c98399e6ac4490bf1c05a43d49ec6b557e714a9b0f47074",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-05T15:18:31Z",
    "title_canon_sha256": "0936e33dc895eaff44241e0cf06bdd188ad23a1d9602159b8e58f0ae8152a7bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01292",
    "kind": "arxiv",
    "version": 3
  }
}