Pith Number

pith:HLCTCG23

pith:2011:HLCTCG23QOVAQFMLVKVGOEUSEF

not attested not anchored not stored refs pending

Chow-Kuenneth decomposition for 3- and 4-folds fibred by varieties with small Chow group of zero-cycles

Charles Vial

arxiv:1111.3658 v2 · 2011-11-15 · 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{HLCTCG23QOVAQFMLVKVGOEUSEF}

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	2026-05-18T02:19:36.623652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ac5311b5b83aa08158baaaa6712922173e8ac6d135f05c472b79d4765e3ff56

Aliases

arxiv: 1111.3658 · arxiv_version: 1111.3658v2 · doi: 10.48550/arxiv.1111.3658 · pith_short_12: HLCTCG23QOVA · pith_short_16: HLCTCG23QOVAQFML · pith_short_8: HLCTCG23

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/HLCTCG23QOVAQFMLVKVGOEUSEF \
  | 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: 3ac5311b5b83aa08158baaaa6712922173e8ac6d135f05c472b79d4765e3ff56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1caf0f2d5feaf3288d2016482494e12ea901b07d8f49760a962ed793092fa1c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-15T21:28:11Z",
    "title_canon_sha256": "93b333672af697406b55889d89251c1f0acd2193c5a52c941d1eeb94594befc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3658",
    "kind": "arxiv",
    "version": 2
  }
}