Pith Number

pith:55YW3IBI

pith:2012:55YW3IBILN33UJF3IHB6S2OGW7

not attested not anchored not stored refs pending

Sasakian Manifolds with Perfect Fundamental Groups

Charles P. Boyer, Christina W. T{\o}nnesen-Friedman

arxiv:1210.2639 v1 · 2012-10-09 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55YW3IBILN33UJF3IHB6S2OGW7}

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	2026-05-18T03:12:09.075002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef716da0285b77ba24bb41c3e969c6b7f0a959301322375b28c2f1734a775083

Aliases

arxiv: 1210.2639 · arxiv_version: 1210.2639v1 · doi: 10.48550/arxiv.1210.2639 · pith_short_12: 55YW3IBILN33 · pith_short_16: 55YW3IBILN33UJF3 · pith_short_8: 55YW3IBI

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/55YW3IBILN33UJF3IHB6S2OGW7 \
  | 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: ef716da0285b77ba24bb41c3e969c6b7f0a959301322375b28c2f1734a775083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d4db591d854c5dbac7b5b5374566aee9e153bd12adf5fae1684d33441394196",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-09T15:22:01Z",
    "title_canon_sha256": "b586b5adfd5df95be203a34e5addeca0d59ff33864a5e2782ceb3940525f3ec3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2639",
    "kind": "arxiv",
    "version": 1
  }
}