Pith Number

pith:7QJMHTJO

pith:2015:7QJMHTJOJE2RZPPS7FIL3XQ4YI

not attested not anchored not stored refs pending

Annihilation of cohomology, generation of modules and finiteness of derived dimension

Abdolnaser Bahlekeh, Ehsan Hakimian, Ryo Takahashi, Shokrollah Salarian

arxiv:1504.06163 v1 · 2015-04-23 · 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{7QJMHTJOJE2RZPPS7FIL3XQ4YI}

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	2026-05-18T02:18:02.362757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc12c3cd2e49351cbdf2f950bdde1cc226a225b528322bcadbad49d37290e45b

Aliases

arxiv: 1504.06163 · arxiv_version: 1504.06163v1 · doi: 10.48550/arxiv.1504.06163 · pith_short_12: 7QJMHTJOJE2R · pith_short_16: 7QJMHTJOJE2RZPPS · pith_short_8: 7QJMHTJO

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/7QJMHTJOJE2RZPPS7FIL3XQ4YI \
  | 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: fc12c3cd2e49351cbdf2f950bdde1cc226a225b528322bcadbad49d37290e45b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b47aa6a71658b859d92c5290091c90d36867a1d3918758926fe479fbc7b3794",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-04-23T13:04:17Z",
    "title_canon_sha256": "f25bd684559e94ece1d1fb7df139cfa695fe951a465239a698b680182ea58d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06163",
    "kind": "arxiv",
    "version": 1
  }
}