Pith Number

pith:K3UMNC6J

pith:2016:K3UMNC6JX26NT3Y2G5UGZNSCXS

not attested not anchored not stored refs pending

A partial characterization of Hilbert quasi-polynomials in the non-standard case

Carla Mascia, Massimo Caboara

arxiv:1607.05468 v2 · 2016-07-19 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3UMNC6JX26NT3Y2G5UGZNSCXS}

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	2026-05-18T01:10:42.475162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56e8c68bc9bebcd9ef1a37686cb642bc83a37656491098aded3a1de5e474dc3f

Aliases

arxiv: 1607.05468 · arxiv_version: 1607.05468v2 · doi: 10.48550/arxiv.1607.05468 · pith_short_12: K3UMNC6JX26N · pith_short_16: K3UMNC6JX26NT3Y2 · pith_short_8: K3UMNC6J

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/K3UMNC6JX26NT3Y2G5UGZNSCXS \
  | 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: 56e8c68bc9bebcd9ef1a37686cb642bc83a37656491098aded3a1de5e474dc3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14511a9cffbae1f865e0f884bcaff372415b29d1b7ddc202f269324a276e185e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-07-19T09:03:31Z",
    "title_canon_sha256": "b6d0ac91ab8d67d38c3755f7d39983c75867aabeb438cbf50f617adf084346b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05468",
    "kind": "arxiv",
    "version": 2
  }
}