Pith Number

pith:VY6HVLR7

pith:2010:VY6HVLR7RLQSQDCCLKHXDCPNC3

not attested not anchored not stored refs pending

A remark on Einstein warped products

Michele Rimoldi

arxiv:1004.3866 v4 · 2010-04-22 · 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{VY6HVLR7RLQSQDCCLKHXDCPNC3}

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	2026-05-18T00:01:01.116671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae3c7aae3f8ae1280c425a8f7189ed16f4b5c7add02a68da4dc05020668e03ba

Aliases

arxiv: 1004.3866 · arxiv_version: 1004.3866v4 · doi: 10.48550/arxiv.1004.3866 · pith_short_12: VY6HVLR7RLQS · pith_short_16: VY6HVLR7RLQSQDCC · pith_short_8: VY6HVLR7

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/VY6HVLR7RLQSQDCCLKHXDCPNC3 \
  | 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: ae3c7aae3f8ae1280c425a8f7189ed16f4b5c7add02a68da4dc05020668e03ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e6e2888cda8b2cf9d263ad56236f8f73e9c0e70feb94c0869133265d7f3eac2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-04-22T08:53:59Z",
    "title_canon_sha256": "d75bbb51a0c034c1b47aea23bf7d4beda3ebef4696916d3b8e9e22b8e1ffcf13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3866",
    "kind": "arxiv",
    "version": 4
  }
}