Pith Number

pith:CMPKWLCH

pith:2015:CMPKWLCHS62GBXXQOCMAXB37Q3

not attested not anchored not stored refs pending

Regularity of Tor for weakly stable ideals

Katie Ansaldi, Luigi Ferraro, Nicholas Clarke

arxiv:1504.04718 v1 · 2015-04-18 · 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{CMPKWLCHS62GBXXQOCMAXB37Q3}

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	2026-05-18T02:18:25.009789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

131eab2c4797b460def070980b877f86f1d939d431a619fd0eeb47151caec0d7

Aliases

arxiv: 1504.04718 · arxiv_version: 1504.04718v1 · doi: 10.48550/arxiv.1504.04718 · pith_short_12: CMPKWLCHS62G · pith_short_16: CMPKWLCHS62GBXXQ · pith_short_8: CMPKWLCH

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/CMPKWLCHS62GBXXQOCMAXB37Q3 \
  | 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: 131eab2c4797b460def070980b877f86f1d939d431a619fd0eeb47151caec0d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e22a05b672370b5174382cb76f047b247f7b3e8a4bbf83d838256aaf0f19f591",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-04-18T13:50:18Z",
    "title_canon_sha256": "3762c9935c58745d1238efe1f6a419197136ca2dd9f47a2125e5bdd8f02e7337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04718",
    "kind": "arxiv",
    "version": 1
  }
}