Pith Number

pith:4S7FLEAU

pith:2010:4S7FLEAUULPHJYE5YL6ZMGP6KH

not attested not anchored not stored refs pending

On the associated graded ring of a semigroup ring

Alessio Sammartano, Marco D'Anna, Vincenzo Micale

arxiv:1004.5481 v2 · 2010-04-30 · 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{4S7FLEAUULPHJYE5YL6ZMGP6KH}

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	2026-05-18T02:24:09.986374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4be559014a2de74e09dc2fd9619fe51cc672bf879599cf1c72954fd3a47898b

Aliases

arxiv: 1004.5481 · arxiv_version: 1004.5481v2 · doi: 10.48550/arxiv.1004.5481 · pith_short_12: 4S7FLEAUULPH · pith_short_16: 4S7FLEAUULPHJYE5 · pith_short_8: 4S7FLEAU

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/4S7FLEAUULPHJYE5YL6ZMGP6KH \
  | 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: e4be559014a2de74e09dc2fd9619fe51cc672bf879599cf1c72954fd3a47898b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36927d9e2069e18e0a9b79c281ad618409a5b9f9bf8d913509a0d5751477ca30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-04-30T09:26:59Z",
    "title_canon_sha256": "459d74bffdf2fd0c7fd03e1c95df0ca19c3b95e34e891ac69b1b7ec0e656af76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5481",
    "kind": "arxiv",
    "version": 2
  }
}