Pith Number

pith:XW6F34ZX

pith:2011:XW6F34ZXIXE66JHIWFLLQAZ3GP

not attested not anchored not stored refs pending

Cleanliness and log-characteristic cycles for vector bundles with flat connections

Liang Xiao

arxiv:1104.1224 v3 · 2011-04-07 · 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{XW6F34ZXIXE66JHIWFLLQAZ3GP}

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	2026-05-18T02:38:18.204032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdbc5df33745c9ef24e8b156b8033b33de549a20f6de924035a7494531f1a4a2

Aliases

arxiv: 1104.1224 · arxiv_version: 1104.1224v3 · doi: 10.48550/arxiv.1104.1224 · pith_short_12: XW6F34ZXIXE6 · pith_short_16: XW6F34ZXIXE66JHI · pith_short_8: XW6F34ZX

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/XW6F34ZXIXE66JHIWFLLQAZ3GP \
  | 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: bdbc5df33745c9ef24e8b156b8033b33de549a20f6de924035a7494531f1a4a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e641627a72aa562a5035ce22f32537d714fa7e2438e24b0605b3719e752aeeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-07T01:02:06Z",
    "title_canon_sha256": "b7e7032194c8cba4c4e4d3c72838408d3cad583258b1e2403ea07502fa809526"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1224",
    "kind": "arxiv",
    "version": 3
  }
}