Pith Number

pith:42O7MGAU

pith:2011:42O7MGAU6LTK7LXBPNLH3F3XEL

not attested not anchored not stored refs pending

On the fundamental groups of compact Sasakian manifolds

Xiaoyang Chen

arxiv:1110.2668 v1 · 2011-10-12 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42O7MGAU6LTK7LXBPNLH3F3XEL}

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	2026-05-18T04:11:07.817343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e69df61814f2e6afaee17b567d977722fec656bbbdbaf4cdb3e6016910c3330a

Aliases

arxiv: 1110.2668 · arxiv_version: 1110.2668v1 · doi: 10.48550/arxiv.1110.2668 · pith_short_12: 42O7MGAU6LTK · pith_short_16: 42O7MGAU6LTK7LXB · pith_short_8: 42O7MGAU

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/42O7MGAU6LTK7LXBPNLH3F3XEL \
  | 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: e69df61814f2e6afaee17b567d977722fec656bbbdbaf4cdb3e6016910c3330a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b9b80876b6142fedd14480d6c8c8e35bae72d573f9211c1448b39222f2e99f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-12T14:22:06Z",
    "title_canon_sha256": "656ce8e4f44ce3b2da776612c7166315a3ba34c34ba4170921ce0cb471940745"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2668",
    "kind": "arxiv",
    "version": 1
  }
}