Pith Number

pith:LHELOPW7

pith:2012:LHELOPW7MLSQMC3KSAHNW3BMFM

not attested not anchored not stored refs pending

One Cycles on Rationally Connected Varieties

Hong R. Zong, Zhiyu Tian

arxiv:1209.4342 v5 · 2012-09-19 · 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{LHELOPW7MLSQMC3KSAHNW3BMFM}

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.

Cited by

1 paper in Pith

The Lichtenbaum-Quillen dimension of complex varieties

Receipt and verification

First computed	2026-05-17T23:53:18.453254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c8b73edf62e5060b6a900edb6c2c2b1f03a60d826d9b4d13129abc83786f3d

Aliases

arxiv: 1209.4342 · arxiv_version: 1209.4342v5 · doi: 10.48550/arxiv.1209.4342 · pith_short_12: LHELOPW7MLSQ · pith_short_16: LHELOPW7MLSQMC3K · pith_short_8: LHELOPW7

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/LHELOPW7MLSQMC3KSAHNW3BMFM \
  | 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: 59c8b73edf62e5060b6a900edb6c2c2b1f03a60d826d9b4d13129abc83786f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ef7a2a34f000ea995d079fe65c04ae73472052c6f7493c4108102ae41aa101",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-19T19:40:41Z",
    "title_canon_sha256": "8bc6f33721ea0575f3b5e3fdb9d466746f59f236c5e1f00fd6f07d5b4a1ff397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4342",
    "kind": "arxiv",
    "version": 5
  }
}