Pith Number

pith:42WAWE4P

pith:2010:42WAWE4PHNUTSCUCGU43VTDAXC

not attested not anchored not stored refs pending

Good filtrations and strong $F$-regularity of the ring of $U_P$-invariants

Mitsuyasu Hashimoto

arxiv:1010.1606 v1 · 2010-10-08 · math.AC · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42WAWE4PHNUTSCUCGU43VTDAXC}

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	2026-05-18T04:39:40.116203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6ac0b138f3b69390a823539bacc60b8beb191d60664f798c752fd8f096ee806

Aliases

arxiv: 1010.1606 · arxiv_version: 1010.1606v1 · doi: 10.48550/arxiv.1010.1606 · pith_short_12: 42WAWE4PHNUT · pith_short_16: 42WAWE4PHNUTSCUC · pith_short_8: 42WAWE4P

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/42WAWE4PHNUTSCUCGU43VTDAXC \
  | 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: e6ac0b138f3b69390a823539bacc60b8beb191d60664f798c752fd8f096ee806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50f8880ef2e07cdb016018a3760ff10e44c1b515d84971746009dd7c017fe77e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-10-08T06:42:25Z",
    "title_canon_sha256": "68bb52e3f05f5fd168448dd177e05fa8d48d4fe6b6fc1943248fd0f7c981ce3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1606",
    "kind": "arxiv",
    "version": 1
  }
}