Pith Number

pith:BMQ4V4LG

pith:2019:BMQ4V4LGDKPF4THMRJXZOOAIJ4

not attested not anchored not stored refs pending

Cohomological dimension and relative Cohen-Maculayness

Akram Ghanbari Doust, Hossein Zakeri, Kamran Divaani-Aazar, Massoud Tousi

arxiv:1905.12390 v1 · 2019-05-29 · 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{BMQ4V4LGDKPF4THMRJXZOOAIJ4}

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	2026-05-17T23:44:44.477550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b21caf1661a9e5e4cec8a6f9738084f3564e14d39f464d46f9a73111d2a76a3

Aliases

arxiv: 1905.12390 · arxiv_version: 1905.12390v1 · doi: 10.48550/arxiv.1905.12390 · pith_short_12: BMQ4V4LGDKPF · pith_short_16: BMQ4V4LGDKPF4THM · pith_short_8: BMQ4V4LG

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/BMQ4V4LGDKPF4THMRJXZOOAIJ4 \
  | 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: 0b21caf1661a9e5e4cec8a6f9738084f3564e14d39f464d46f9a73111d2a76a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8abf287386206a9a626bf9eb13412b5b2b652327b12674b7aa858ba2ce11f331",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-05-29T12:54:53Z",
    "title_canon_sha256": "331e0da415ef9efbed934d885a9be0b5feddb7f34a56898b24f09f675874734d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12390",
    "kind": "arxiv",
    "version": 1
  }
}