Pith Number

pith:Q5LNATI3

pith:2011:Q5LNATI3LLOFXICBIMOTJA4GOP

not attested not anchored not stored refs pending

Extremal Sasakian Geometry on $T^2\times S^3$ and Related Manifolds

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

arxiv:1108.2005 v3 · 2011-08-09 · 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{Q5LNATI3LLOFXICBIMOTJA4GOP}

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	2026-05-17T23:53:19.290969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8756d04d1b5adc5ba041431d34838673c315fed802d2f0b50a282a5126ecaf47

Aliases

arxiv: 1108.2005 · arxiv_version: 1108.2005v3 · doi: 10.48550/arxiv.1108.2005 · pith_short_12: Q5LNATI3LLOF · pith_short_16: Q5LNATI3LLOFXICB · pith_short_8: Q5LNATI3

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/Q5LNATI3LLOFXICBIMOTJA4GOP \
  | 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: 8756d04d1b5adc5ba041431d34838673c315fed802d2f0b50a282a5126ecaf47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2757164ccaf201a1b353a2f69c4c4edec635d94e5aa8983824342fc1e3655e67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-09T18:32:43Z",
    "title_canon_sha256": "31317eb72474a2ff70acca5291830f09082de7aaf01ee6cec7ddb6fae2b0077a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2005",
    "kind": "arxiv",
    "version": 3
  }
}