Pith Number

pith:SKY6H6GW

pith:2013:SKY6H6GWUGUDHLCFSTY3L2XOA5

not attested not anchored not stored refs pending

Faltings' local-global principle for the minimaxness of local cohomology modules

Mohammad Reza Doustimehr, Reza Naghipour

arxiv:1308.5540 v1 · 2013-08-26 · 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{SKY6H6GWUGUDHLCFSTY3L2XOA5}

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	2026-05-18T03:15:04.210872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92b1e3f8d6a1a833ac4594f1b5eaee0761efd445025aee943c320592a38972f2

Aliases

arxiv: 1308.5540 · arxiv_version: 1308.5540v1 · doi: 10.48550/arxiv.1308.5540 · pith_short_12: SKY6H6GWUGUD · pith_short_16: SKY6H6GWUGUDHLCF · pith_short_8: SKY6H6GW

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/SKY6H6GWUGUDHLCFSTY3L2XOA5 \
  | 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: 92b1e3f8d6a1a833ac4594f1b5eaee0761efd445025aee943c320592a38972f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f7bb5c1b1996a01853207d65768515fdad2d5a8d52a9834ac771781f671292c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-26T10:57:50Z",
    "title_canon_sha256": "02712387901506ddffd138057a28d7e036010a3fb0d5b1d0052dc6a03b879993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5540",
    "kind": "arxiv",
    "version": 1
  }
}