Pith Number

pith:SZJOO2BY

pith:2012:SZJOO2BYNY456UJ64ER274MO2Z

not attested not anchored not stored refs pending

A cohomological classification of vector bundles on smooth affine threefolds

Aravind Asok, Jean Fasel

arxiv:1204.0770 v5 · 2012-04-03 · math.AG · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZJOO2BYNY456UJ64ER274MO2Z}

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	2026-05-18T02:29:25.442886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9652e768386e39df513ee123aff18ed647f2f3675e0e9538cf3a01124292e65c

Aliases

arxiv: 1204.0770 · arxiv_version: 1204.0770v5 · doi: 10.48550/arxiv.1204.0770 · pith_short_12: SZJOO2BYNY45 · pith_short_16: SZJOO2BYNY456UJ6 · pith_short_8: SZJOO2BY

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/SZJOO2BYNY456UJ64ER274MO2Z \
  | 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: 9652e768386e39df513ee123aff18ed647f2f3675e0e9538cf3a01124292e65c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0637aed991a7e0118c196e2ed50b390545f01cee9d9bd22783a8025017a9183",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-03T19:18:18Z",
    "title_canon_sha256": "72748ed4c9e018da297f93adbf1c50c788ebb5757bb575e3498241239ad1ca4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0770",
    "kind": "arxiv",
    "version": 5
  }
}