Pith Number

pith:K4IRB6YP

pith:2026:K4IRB6YPKCCNC7OS36GVSYPRBC

not attested not anchored not stored refs pending

Geometric formulation for Palatini-Cartan gravity

Alberto Molgado, Iv\'an Cortes-Cruz, Jasel Berra-Montiel

arxiv:2606.31070 v1 · 2026-06-30 · gr-qc · math-ph · 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{K4IRB6YPKCCNC7OS36GVSYPRBC}

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	2026-07-01T01:17:28.243640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571110fb0f5084d17dd2df8d5961f1089ca56fe39598d2ccb86ef7f44fd3a210

Aliases

arxiv: 2606.31070 · arxiv_version: 2606.31070v1 · doi: 10.48550/arxiv.2606.31070 · pith_short_12: K4IRB6YPKCCN · pith_short_16: K4IRB6YPKCCNC7OS · pith_short_8: K4IRB6YP

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/K4IRB6YPKCCNC7OS36GVSYPRBC \
  | 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: 571110fb0f5084d17dd2df8d5961f1089ca56fe39598d2ccb86ef7f44fd3a210

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e51189eab857dcc81bc52ebec746e8fb7a5d4bbab7a1f76bd8d5628bedbfa5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-30T02:58:03Z",
    "title_canon_sha256": "fd2af2ec758d90eced76ce0412611ba50ad2b487ad1851dd4494bc3c7a765d7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31070",
    "kind": "arxiv",
    "version": 1
  }
}