Pith Number

pith:OQ6MSOTE

pith:2017:OQ6MSOTESWV35F44J3MEP4SIDP

not attested not anchored not stored refs pending

Asymptotic distributions associated to piecewise quasi-polynomials

Michele Vergne (IMJ), Paul-Emile Paradan (IMAG)

arxiv:1708.08283 v1 · 2017-08-28 · math.CA · 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{OQ6MSOTESWV35F44J3MEP4SIDP}

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	2026-05-18T00:36:36.494747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

743cc93a6495abbe979c4ed847f2481bfcb137eba74285be56991c4db22988a9

Aliases

arxiv: 1708.08283 · arxiv_version: 1708.08283v1 · doi: 10.48550/arxiv.1708.08283 · pith_short_12: OQ6MSOTESWV3 · pith_short_16: OQ6MSOTESWV35F44 · pith_short_8: OQ6MSOTE

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/OQ6MSOTESWV35F44J3MEP4SIDP \
  | 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: 743cc93a6495abbe979c4ed847f2481bfcb137eba74285be56991c4db22988a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5a25f20fa675e33675025620e8becda412d8edd81de4550e479ba33001ec1cf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-28T11:56:51Z",
    "title_canon_sha256": "87059e5daaa4c2296901febeba308d82ecc75feb38007d0365a10b4ddba413f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08283",
    "kind": "arxiv",
    "version": 1
  }
}