Pith Number

pith:MCFUIKRN

pith:2018:MCFUIKRN6IAM2SXCFY2UZ5DRRV

not attested not anchored not stored refs pending

An optimal transport formulation of the Einstein equations of general relativity

Andrea Mondino, Stefan Suhr

arxiv:1810.13309 v3 · 2018-10-31 · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCFUIKRN6IAM2SXCFY2UZ5DRRV}

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

Geometry of weighted Lorentz-Finsler manifolds I: Singularity theorems

Receipt and verification

First computed	2026-07-05T06:54:10.108107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

608b442a2df200cd4ae22e354cf4718d7e86771e1e88195b3f69d6c663fc5b85

Aliases

arxiv: 1810.13309 · arxiv_version: 1810.13309v3 · doi: 10.48550/arxiv.1810.13309 · pith_short_12: MCFUIKRN6IAM · pith_short_16: MCFUIKRN6IAM2SXC · pith_short_8: MCFUIKRN

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/MCFUIKRN6IAM2SXCFY2UZ5DRRV \
  | 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: 608b442a2df200cd4ae22e354cf4718d7e86771e1e88195b3f69d6c663fc5b85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b59c1ac1b48cbd62b767fe58c7842fc0c5d113bd3db257e7a7da911ecd63e46c",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-10-31T14:40:37Z",
    "title_canon_sha256": "323b1c2d7cf9403c754a325c07068f9ba8852894d1eb92a2478ebf700cc4f126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.13309",
    "kind": "arxiv",
    "version": 3
  }
}