Pith Number

pith:LLVVX7LQ

pith:2013:LLVVX7LQE4UBE3JEYYPPSQUR4W

not attested not anchored not stored refs pending

Local cohomology annihilators and Macaulayfication

Doan Trung Cuong, Nguyen Tu Cuong

arxiv:1305.5609 v1 · 2013-05-24 · 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{LLVVX7LQE4UBE3JEYYPPSQUR4W}

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	2026-05-18T03:25:03.680948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aeb5bfd702728126d24c61ef94291e5a51c8522458b318f40993ee5421bb92f

Aliases

arxiv: 1305.5609 · arxiv_version: 1305.5609v1 · doi: 10.48550/arxiv.1305.5609 · pith_short_12: LLVVX7LQE4UB · pith_short_16: LLVVX7LQE4UBE3JE · pith_short_8: LLVVX7LQ

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/LLVVX7LQE4UBE3JEYYPPSQUR4W \
  | 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: 5aeb5bfd702728126d24c61ef94291e5a51c8522458b318f40993ee5421bb92f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3bddb756bde13e2837b5663f881f20515c9861afb195453586fdcea4f0f7003",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-05-24T03:19:49Z",
    "title_canon_sha256": "515aa05075f0d4870264c7e2c81006b3cb85bda302e7dc5038cf9670e349002a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5609",
    "kind": "arxiv",
    "version": 1
  }
}