Pith Number

pith:XKMLEXVQ

pith:2010:XKMLEXVQEBW3RM3NI67I6BB7WA

not attested not anchored not stored refs pending

A Splitting Theorem for Local Cohomology and its Applications

Nguyen Tu Cuong, Pham Hung Quy

arxiv:1009.3531 v1 · 2010-09-18 · 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{XKMLEXVQEBW3RM3NI67I6BB7WA}

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	2026-05-18T04:40:44.690547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba98b25eb0206db8b36d47be8f043fb006a1778c7d329c5aa0f4ac84fb6cb439

Aliases

arxiv: 1009.3531 · arxiv_version: 1009.3531v1 · doi: 10.48550/arxiv.1009.3531 · pith_short_12: XKMLEXVQEBW3 · pith_short_16: XKMLEXVQEBW3RM3N · pith_short_8: XKMLEXVQ

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/XKMLEXVQEBW3RM3NI67I6BB7WA \
  | 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: ba98b25eb0206db8b36d47be8f043fb006a1778c7d329c5aa0f4ac84fb6cb439

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "988f41b687776a45db2aff4ccf86cf73c880ab1cc339380ce1e8458d310df789",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-18T02:43:04Z",
    "title_canon_sha256": "e32ed2fe57dc1506631663de05eed1b97b5db82163e6f69035b2f1ce65707c0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3531",
    "kind": "arxiv",
    "version": 1
  }
}