Pith Number

pith:O2UXDGQS

pith:2021:O2UXDGQSMYQUJJ7TJU22C6D7TV

not attested not anchored not stored refs pending

Mori-Zwanzig formalism for general relativity: a new approach to the averaging problem

Michael te Vrugt, Raphael Wittkowski, Sabine Hossenfelder

arxiv:2107.11497 v1 · 2021-07-24 · gr-qc · astro-ph.CO · cond-mat.stat-mech · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2UXDGQSMYQUJJ7TJU22C6D7TV}

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	2026-07-05T03:37:44.481973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a9719a12662144a7f34d35a1787f9d416dac373b736e0178a0c5a5478728d9

Aliases

arxiv: 2107.11497 · arxiv_version: 2107.11497v1 · doi: 10.48550/arxiv.2107.11497 · pith_short_12: O2UXDGQSMYQU · pith_short_16: O2UXDGQSMYQUJJ7T · pith_short_8: O2UXDGQS

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/O2UXDGQSMYQUJJ7TJU22C6D7TV \
  | 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: 76a9719a12662144a7f34d35a1787f9d416dac373b736e0178a0c5a5478728d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d0f725f51043546d508ed9e43758603137a6a62ea67bbfc4cfa3ab0f8c650f1",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "cond-mat.stat-mech",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-24T00:51:00Z",
    "title_canon_sha256": "8089f4f7e1258ea40e054f09966c694784fd9fbc197a48bcc06d58f8e38658e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11497",
    "kind": "arxiv",
    "version": 1
  }
}