Pith Number

pith:LIA4FWA4

pith:2010:LIA4FWA42AF2UMZ3LYW4BWTA2A

not attested not anchored not stored refs pending

Formulations of the 3+1 evolution equations in curvilinear coordinates

Martha D. Mendez, Miguel Alcubierre

arxiv:1010.4013 v1 · 2010-10-19 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIA4FWA42AF2UMZ3LYW4BWTA2A}

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.

Cited by

1 paper in Pith

Primordial black hole formation in bulk-viscous cosmology

Receipt and verification

First computed	2026-05-18T04:12:12.156180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a01c2d81cd00baa333b5e2dc0da60d003dd12463802912895975718f5a4ff7b

Aliases

arxiv: 1010.4013 · arxiv_version: 1010.4013v1 · doi: 10.48550/arxiv.1010.4013 · pith_short_12: LIA4FWA42AF2 · pith_short_16: LIA4FWA42AF2UMZ3 · pith_short_8: LIA4FWA4

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/LIA4FWA42AF2UMZ3LYW4BWTA2A \
  | 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: 5a01c2d81cd00baa333b5e2dc0da60d003dd12463802912895975718f5a4ff7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d794aaffde15ab888fb4dd5d119abad917c10f99d6745038e1b2abdea5048f83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-19T19:16:31Z",
    "title_canon_sha256": "b6e5fd04b45519551de6f9207fcb87f005f5ec2b8930856cddc6eeb173b799b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4013",
    "kind": "arxiv",
    "version": 1
  }
}