Pith Number

pith:U7U5VJMZ

pith:2016:U7U5VJMZCZ6SFBHZIPTDYJQAOJ

not attested not anchored not stored refs pending

Cohomology of finite modules over short Gorenstein rings

Liana Sega, Melissa Menning

arxiv:1601.00930 v1 · 2016-01-05 · 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{U7U5VJMZCZ6SFBHZIPTDYJQAOJ}

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	2026-05-18T01:23:21.284614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e9daa599167d2284f943e63c2600725b209c89a83752e311ca4ee8d89caec6

Aliases

arxiv: 1601.00930 · arxiv_version: 1601.00930v1 · doi: 10.48550/arxiv.1601.00930 · pith_short_12: U7U5VJMZCZ6S · pith_short_16: U7U5VJMZCZ6SFBHZ · pith_short_8: U7U5VJMZ

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/U7U5VJMZCZ6SFBHZIPTDYJQAOJ \
  | 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: a7e9daa599167d2284f943e63c2600725b209c89a83752e311ca4ee8d89caec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54c469849a304d98609fa4e64fd573063a4c06f8f1a9eac9fbd95b113d35b9a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-05T18:35:02Z",
    "title_canon_sha256": "b5e201e7731ab9f0e7c0529cab7055384c0c1919d9c9e449a39f30a3ecb7698c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00930",
    "kind": "arxiv",
    "version": 1
  }
}