Pith Number

pith:QO7RT5ZI

pith:2011:QO7RT5ZIY4FIH5PKVLIEDUVSJM

not attested not anchored not stored refs pending

The curvature operator at the soul

Gerard Walschap, Luis Guijarro

arxiv:1108.3448 v1 · 2011-08-17 · 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{QO7RT5ZIY4FIH5PKVLIEDUVSJM}

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	2026-05-18T04:15:17.772191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83bf19f728c70a83f5eaaad041d2b24b0dc7bf900b8eae47f6ee0f7fc148b86c

Aliases

arxiv: 1108.3448 · arxiv_version: 1108.3448v1 · doi: 10.48550/arxiv.1108.3448 · pith_short_12: QO7RT5ZIY4FI · pith_short_16: QO7RT5ZIY4FIH5PK · pith_short_8: QO7RT5ZI

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/QO7RT5ZIY4FIH5PKVLIEDUVSJM \
  | 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: 83bf19f728c70a83f5eaaad041d2b24b0dc7bf900b8eae47f6ee0f7fc148b86c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f94678a1468b5bba85515f9c36678627ce78d106aa5e341279e520c3bb6f7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-17T11:20:52Z",
    "title_canon_sha256": "12c01de7f300207966103dd51ae1e3f355a4ca14b7ad59af41287682022587dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3448",
    "kind": "arxiv",
    "version": 1
  }
}