Pith Number

pith:LLQVW42A

pith:2013:LLQVW42APT3ICKT475OKAO7Y5M

not attested not anchored not stored refs pending

Birational positivity in dimension 4 (with an appendix by Fr\'ed\'eric Campana)

Behrouz Taji

arxiv:1304.6686 v1 · 2013-04-24 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLQVW42APT3ICKT475OKAO7Y5M}

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	2026-05-18T03:27:12.368672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae15b73407cf6812a7cff5ca03bf8eb37c18647ceeab2e9b17fe6b699a82fe7

Aliases

arxiv: 1304.6686 · arxiv_version: 1304.6686v1 · doi: 10.48550/arxiv.1304.6686 · pith_short_12: LLQVW42APT3I · pith_short_16: LLQVW42APT3ICKT4 · pith_short_8: LLQVW42A

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/LLQVW42APT3ICKT475OKAO7Y5M \
  | 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: 5ae15b73407cf6812a7cff5ca03bf8eb37c18647ceeab2e9b17fe6b699a82fe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2855f8d348b664e94691b49dc2276e626443f12dd30feb6c0b69f6cb6520391a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-24T18:11:13Z",
    "title_canon_sha256": "b4c2c283094c052cf41c42d6d1d40a4a92ab32d751902da7f9a3782721269e04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6686",
    "kind": "arxiv",
    "version": 1
  }
}