Pith Number

pith:6FKKH3AL

pith:2016:6FKKH3ALC3DDGE532Z5NU4YBAU

not attested not anchored not stored refs pending

A local duality principle in derived categories of commutative Noetherian rings

Tsutomu Nakamura, Yuji Yoshino

arxiv:1610.07715 v2 · 2016-10-25 · 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{6FKKH3ALC3DDGE532Z5NU4YBAU}

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	2026-05-18T00:35:43.909204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f154a3ec0b16c63313bbd67ada7301053ace78a15c56b96815a190f1e9c0b26f

Aliases

arxiv: 1610.07715 · arxiv_version: 1610.07715v2 · doi: 10.48550/arxiv.1610.07715 · pith_short_12: 6FKKH3ALC3DD · pith_short_16: 6FKKH3ALC3DDGE53 · pith_short_8: 6FKKH3AL

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/6FKKH3ALC3DDGE532Z5NU4YBAU \
  | 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: f154a3ec0b16c63313bbd67ada7301053ace78a15c56b96815a190f1e9c0b26f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9efeb66fa4c598b1cf3de538a236fdf2db7a3413de17a7eaa970934d97328188",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-10-25T03:18:55Z",
    "title_canon_sha256": "19c02350e47aa6aeacfe5448a3372c3592f577b5f9287dce69d868ff8de38013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07715",
    "kind": "arxiv",
    "version": 2
  }
}