Pith Number

pith:Q7HQKQEF

pith:2011:Q7HQKQEFYI5ZKWPDUCHTDU7QK6

not attested not anchored not stored refs pending

A Note on Wu-Zheng's Splitting Conjecture

Chengjie Yu

arxiv:1109.2504 v1 · 2011-09-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q7HQKQEFYI5ZKWPDUCHTDU7QK6}

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	2026-05-18T04:13:37.521959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87cf054085c23b9559e3a08f31d3f057a83ae6853733746f3a19682adfbfb745

Aliases

arxiv: 1109.2504 · arxiv_version: 1109.2504v1 · doi: 10.48550/arxiv.1109.2504 · pith_short_12: Q7HQKQEFYI5Z · pith_short_16: Q7HQKQEFYI5ZKWPD · pith_short_8: Q7HQKQEF

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/Q7HQKQEFYI5ZKWPDUCHTDU7QK6 \
  | 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: 87cf054085c23b9559e3a08f31d3f057a83ae6853733746f3a19682adfbfb745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21dda81ddd4181e649a04551ed6d6aa6f8a07e0dcf544bbd2e812838786ad804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-12T15:26:43Z",
    "title_canon_sha256": "fcec1c6042cfd9ed16bd8e91089e7f59a803d28337ce8f16fdcf15f7f289a9ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2504",
    "kind": "arxiv",
    "version": 1
  }
}