Pith Number

pith:PSBB7CVS

pith:2013:PSBB7CVS7HGOBCEXC33TWEB75O

not attested not anchored not stored refs pending

Hochster duality in derived categories and point-free reconstruction of schemes

Joachim Kock, Wolfgang Pitsch

arxiv:1305.1503 v5 · 2013-05-07 · math.AG · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSBB7CVS7HGOBCEXC33TWEB75O}

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	2026-05-18T00:56:12.762177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c821f8ab2f9cce0889716f73b103febb632e73770bec186a2cd7b500de34b12

Aliases

arxiv: 1305.1503 · arxiv_version: 1305.1503v5 · doi: 10.48550/arxiv.1305.1503 · pith_short_12: PSBB7CVS7HGO · pith_short_16: PSBB7CVS7HGOBCEX · pith_short_8: PSBB7CVS

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/PSBB7CVS7HGOBCEXC33TWEB75O \
  | 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: 7c821f8ab2f9cce0889716f73b103febb632e73770bec186a2cd7b500de34b12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a2c9d55174a81ffa7bdc19c46b9c0139f0789f7207844849221fa6f5bd2055c",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-07T13:17:31Z",
    "title_canon_sha256": "f82a156a8328ace90f32f74dcfea63fa22cf5880ea764b4334ac3ac0835042b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1503",
    "kind": "arxiv",
    "version": 5
  }
}