Pith Number

pith:6YL7DD53

pith:2006:6YL7DD53YPWR6467CPLZTTZ3JC

not attested not anchored not stored refs pending

The Complex Structures on $S^{2n}$

Jianwei Zhou

arxiv:math/0608368 v5 · 2006-08-15 · 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{6YL7DD53YPWR6467CPLZTTZ3JC}

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	2026-05-18T00:28:19.416222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f617f18fbbc3ed1f73df13d799cf3b488fb92d34d944d6728c1b39f34e0c7899

Aliases

arxiv: math/0608368 · arxiv_version: math/0608368v5 · doi: 10.48550/arxiv.math/0608368 · pith_short_12: 6YL7DD53YPWR · pith_short_16: 6YL7DD53YPWR6467 · pith_short_8: 6YL7DD53

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/6YL7DD53YPWR6467CPLZTTZ3JC \
  | 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: f617f18fbbc3ed1f73df13d799cf3b488fb92d34d944d6728c1b39f34e0c7899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9295731b98fdd66a41eb3fcb263595082d64607bb8147a32e3099ec1ba1b3597",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2006-08-15T01:39:12Z",
    "title_canon_sha256": "6c595d5c0bbd1627ea19bf1f1d19c232b643eff40cb3bfa93ad4c05a5ef30144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608368",
    "kind": "arxiv",
    "version": 5
  }
}