Pith Number

pith:PR4YLZ4T

pith:2007:PR4YLZ4TO7H7KQ2MBAV2WNPVEM

not attested not anchored not stored refs pending

The derived category of quasi-coherent sheaves and axiomatic stable homotopy

Ana Jeremias, Leovigildo Alonso, Maria J. Vale, Marta Perez

arxiv:0706.0493 v3 · 2007-06-04 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PR4YLZ4TO7H7KQ2MBAV2WNPVEM}

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	2026-05-18T00:45:35.542992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c7985e79377cff5434c082bab35f52329256f4445e6984c6059fb80185f77b4

Aliases

arxiv: 0706.0493 · arxiv_version: 0706.0493v3 · doi: 10.48550/arxiv.0706.0493 · pith_short_12: PR4YLZ4TO7H7 · pith_short_16: PR4YLZ4TO7H7KQ2M · pith_short_8: PR4YLZ4T

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/PR4YLZ4TO7H7KQ2MBAV2WNPVEM \
  | 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: 7c7985e79377cff5434c082bab35f52329256f4445e6984c6059fb80185f77b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab665c8a750e8ebff38f2ee9a7791c544b133605cced2864b9a0f199a54c8ef",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-06-04T18:32:28Z",
    "title_canon_sha256": "11cd2c2a4cd734db63d053779be4ab8569360cfc8c4334ccdc5d9c0299d5c79a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0493",
    "kind": "arxiv",
    "version": 3
  }
}