Pith Number

pith:COH7UITC

pith:2011:COH7UITCATQE3BOLTPTBPT45KY

not attested not anchored not stored refs pending

A note on four dimensional (anti-)self-dual quasi-Einstein manifolds

Giovanni Catino

arxiv:1102.3893 v4 · 2011-02-18 · 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{COH7UITCATQE3BOLTPTBPT45KY}

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	2026-05-18T02:40:47.774845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

138ffa226204e04d85cb9be617cf9d5600a5d5c8f6c56f2f59ceb1c7beb78ac4

Aliases

arxiv: 1102.3893 · arxiv_version: 1102.3893v4 · doi: 10.48550/arxiv.1102.3893 · pith_short_12: COH7UITCATQE · pith_short_16: COH7UITCATQE3BOL · pith_short_8: COH7UITC

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/COH7UITCATQE3BOLTPTBPT45KY \
  | 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: 138ffa226204e04d85cb9be617cf9d5600a5d5c8f6c56f2f59ceb1c7beb78ac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69d3105a3d02c6874b87a2482dba0d2463b0ab405f73a7157409e3cc18ecbbd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-18T19:43:59Z",
    "title_canon_sha256": "be3a47bd3d0a262733335a25c36b2c8a38ce4dce521b99f741cff7f9cdfb1a99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3893",
    "kind": "arxiv",
    "version": 4
  }
}