Pith Number

pith:WPTWPNZQ

pith:2012:WPTWPNZQYCVY3NOP2YZB563FHT

not attested not anchored not stored refs pending

Tilting, cotilting, and spectra of commutative noetherian rings

David Pospisil, Jan Stovicek, Jan Trlifaj, Lidia Angeleri H\"ugel

arxiv:1203.0907 v3 · 2012-03-05 · math.AC · math.CT · math.RA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPTWPNZQYCVY3NOP2YZB563FHT}

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	2026-05-18T02:50:43.417788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3e767b730c0ab8db5cfd6321efb653ce7a257a67e81fd1569a416f5c8343558

Aliases

arxiv: 1203.0907 · arxiv_version: 1203.0907v3 · doi: 10.48550/arxiv.1203.0907 · pith_short_12: WPTWPNZQYCVY · pith_short_16: WPTWPNZQYCVY3NOP · pith_short_8: WPTWPNZQ

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/WPTWPNZQYCVY3NOP2YZB563FHT \
  | 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: b3e767b730c0ab8db5cfd6321efb653ce7a257a67e81fd1569a416f5c8343558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b51be182e5c58ce003dd437a215bf6f05dca7261614e2a5bfee53deaa40576df",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-03-05T13:26:49Z",
    "title_canon_sha256": "2d25e80e577040605de90b38adc02bf2b1c67413bc24a3aac88d78b55a2b3b94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0907",
    "kind": "arxiv",
    "version": 3
  }
}