Pith Number

pith:OPSAYK5B

pith:2018:OPSAYK5BO4QXJ2RQNXPRO66EDC

not attested not anchored not stored refs pending

Constructing Bach Flat Manifolds of signature $(2,2)$ using the modified Riemannian extension

E. Calvi\~no-Louzao, E. Garc\'ia-R\'io, I. Guti\'errez-Rodr\'iguez, P. Gilkey, R. V\'azquez-Lorenzo

arxiv:1807.09218 v1 · 2018-07-24 · 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{OPSAYK5BO4QXJ2RQNXPRO66EDC}

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	2026-05-17T23:53:29.785463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e40c2ba1772174ea306ddf177bc41892e1e76f66479610159c93ec330b3dbf

Aliases

arxiv: 1807.09218 · arxiv_version: 1807.09218v1 · doi: 10.48550/arxiv.1807.09218 · pith_short_12: OPSAYK5BO4QX · pith_short_16: OPSAYK5BO4QXJ2RQ · pith_short_8: OPSAYK5B

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/OPSAYK5BO4QXJ2RQNXPRO66EDC \
  | 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: 73e40c2ba1772174ea306ddf177bc41892e1e76f66479610159c93ec330b3dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "213398ae1440d148e4feeb12e53836f6df5638b083bc5d694a3e6abd75463d36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-07-24T16:32:27Z",
    "title_canon_sha256": "f08792e1470fe92d022f2b14d4dc001b333f6649099d3b2d307b6f453666e02a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09218",
    "kind": "arxiv",
    "version": 1
  }
}