Pith Number

pith:GL7WDUSX

pith:2016:GL7WDUSX5NBHVCZVOXI2RZE7EF

not attested not anchored not stored refs pending

Symmetry in vanishing of Tate cohomology over Gorenstein rings

Arash Sadeghi

arxiv:1608.04588 v3 · 2016-08-16 · 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{GL7WDUSX5NBHVCZVOXI2RZE7EF}

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	2026-05-18T00:35:44.100033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ff61d257eb427a8b3575d1a8e49f2172b056c96342e82508a4955ce72e0c91

Aliases

arxiv: 1608.04588 · arxiv_version: 1608.04588v3 · doi: 10.48550/arxiv.1608.04588 · pith_short_12: GL7WDUSX5NBH · pith_short_16: GL7WDUSX5NBHVCZV · pith_short_8: GL7WDUSX

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/GL7WDUSX5NBHVCZVOXI2RZE7EF \
  | 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: 32ff61d257eb427a8b3575d1a8e49f2172b056c96342e82508a4955ce72e0c91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d9fc8c64cef90b4f8ff0c949448a25f98d3a760df6e01c11f916191b8db0c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-08-16T13:40:45Z",
    "title_canon_sha256": "a55a2ae452309a0355cfd985dba23840208ead201a9cec1fc083a68308ca28d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04588",
    "kind": "arxiv",
    "version": 3
  }
}