Pith Number

pith:DRHBNCAA

pith:2026:DRHBNCAALCW7W5PMGJ3A3QRNUY

not attested not anchored not stored refs pending

A Geometric Derivation of the Einstein Equations from the Causal Action Principle

Christoph Krpoun, Felix Finster

arxiv:2607.13871 v1 · 2026-07-15 · math-ph · gr-qc · 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{DRHBNCAALCW7W5PMGJ3A3QRNUY}

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	2026-07-16T01:23:10.867377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c4e16880058adfb75ec32760dc22da62b3dfb8c76cf5a18fee579023abfa304

Aliases

arxiv: 2607.13871 · arxiv_version: 2607.13871v1 · doi: 10.48550/arxiv.2607.13871 · pith_short_12: DRHBNCAALCW7 · pith_short_16: DRHBNCAALCW7W5PM · pith_short_8: DRHBNCAA

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/DRHBNCAALCW7W5PMGJ3A3QRNUY \
  | 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: 1c4e16880058adfb75ec32760dc22da62b3dfb8c76cf5a18fee579023abfa304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f212b7efacff1f60c40a4ef1ec7b70e7034f15f3c82902db822e3fc4e2058972",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-15T14:18:49Z",
    "title_canon_sha256": "1e64d56feda3b5fa3fc30d6c4b0523376ff4f70b137094f9b7a2a0d4c8371d83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13871",
    "kind": "arxiv",
    "version": 1
  }
}