pith. sign in
Pith Number

pith:RUI22M4C

pith:2017:RUI22M4CD23SXGIVAZD5PNZHMW
not attested not anchored not stored refs pending

Local homology, finiteness of Tor modules and cofiniteness

Hossein Faridian, Kamran Divaani-Aazar, Massoud Tousi

arxiv:1701.07721 v1 · 2017-01-26 · math.AC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RUI22M4CD23SXGIVAZD5PNZHMW}

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 2026-05-18T00:52:02.765930Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8d11ad33821eb72b99150647d7b72765a2020ea56e8249b977e7b981dfa8930f

Aliases

arxiv: 1701.07721 · arxiv_version: 1701.07721v1 · doi: 10.48550/arxiv.1701.07721 · pith_short_12: RUI22M4CD23S · pith_short_16: RUI22M4CD23SXGIV · pith_short_8: RUI22M4C
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RUI22M4CD23SXGIVAZD5PNZHMW \
  | 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: 8d11ad33821eb72b99150647d7b72765a2020ea56e8249b977e7b981dfa8930f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6607bd503a499c4e98ec938c74eb31369a1ddcfa3d005d371937e2c57638e69c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-01-26T14:43:20Z",
    "title_canon_sha256": "a36a5180108d8eebba2f83416986ae6960b5499eab2b1ad6fe9e634534888e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07721",
    "kind": "arxiv",
    "version": 1
  }
}