Pith Number

pith:POL45UEV

pith:2018:POL45UEVMDJTD5YA4QT4447RSJ

not attested not anchored not stored refs pending

F-signature function of quotient singularities

Alessandro De Stefani, Alessio Caminata

arxiv:1804.01281 v2 · 2018-04-04 · 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{POL45UEVMDJTD5YA4QT4447RSJ}

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	2026-05-18T00:16:21.079861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b97ced09560d331f700e427ce73f1924acb99550a5cc617d1b0e21c9e288470

Aliases

arxiv: 1804.01281 · arxiv_version: 1804.01281v2 · doi: 10.48550/arxiv.1804.01281 · pith_short_12: POL45UEVMDJT · pith_short_16: POL45UEVMDJTD5YA · pith_short_8: POL45UEV

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/POL45UEVMDJTD5YA4QT4447RSJ \
  | 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: 7b97ced09560d331f700e427ce73f1924acb99550a5cc617d1b0e21c9e288470

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeec3a7f3621d56bf6f73a08016c6b533825e13f993a6ab1690721f4526a6edf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-04-04T07:56:36Z",
    "title_canon_sha256": "4837028cb0f8a2f12eec50ec00b7e49834f6b24024ef92055717492bc9837629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01281",
    "kind": "arxiv",
    "version": 2
  }
}