Pith Number

pith:V3KYR3KP

pith:2013:V3KYR3KPEXVWC3GW3KWN4WODQP

not attested not anchored not stored refs pending

On Cohomologically Complete Intersections in Cohen-Macaulay Rings

Waqas Mahmood

arxiv:1312.6961 v2 · 2013-12-25 · 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{V3KYR3KPEXVWC3GW3KWN4WODQP}

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	2026-05-18T03:03:31.421456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aed588ed4f25eb616cd6daacde59c383f3f0217823c62a87b0c27bae19594f7c

Aliases

arxiv: 1312.6961 · arxiv_version: 1312.6961v2 · doi: 10.48550/arxiv.1312.6961 · pith_short_12: V3KYR3KPEXVW · pith_short_16: V3KYR3KPEXVWC3GW · pith_short_8: V3KYR3KP

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/V3KYR3KPEXVWC3GW3KWN4WODQP \
  | 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: aed588ed4f25eb616cd6daacde59c383f3f0217823c62a87b0c27bae19594f7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69659b2fdc654ee81c64c74ad1b2029c1994eee3dc016c8e32280454c83a6207",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-12-25T11:39:50Z",
    "title_canon_sha256": "f965505684476d8a950093e0586354b9035a65b4bd2cd3b1b1e900cd128f1abb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6961",
    "kind": "arxiv",
    "version": 2
  }
}