Pith Number

pith:MNWLO46U

pith:2011:MNWLO46UIX5Q6ZDEXWKLBZTF36

not attested not anchored not stored refs pending

Quantum gravity in Heisenberg representation and self-consistent theory of gravitons in macroscopic spacetime

Grigory Vereshkov, Leonid Marochnik

arxiv:1108.4256 v2 · 2011-08-22 · 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{MNWLO46UIX5Q6ZDEXWKLBZTF36}

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	2026-05-18T03:31:54.454272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

636cb773d445fb0f6464bd94b0e665df9cfc7e4d46dd34fbf0d67de7e682ebde

Aliases

arxiv: 1108.4256 · arxiv_version: 1108.4256v2 · doi: 10.48550/arxiv.1108.4256 · pith_short_12: MNWLO46UIX5Q · pith_short_16: MNWLO46UIX5Q6ZDE · pith_short_8: MNWLO46U

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/MNWLO46UIX5Q6ZDEXWKLBZTF36 \
  | 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: 636cb773d445fb0f6464bd94b0e665df9cfc7e4d46dd34fbf0d67de7e682ebde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0d32b60502ebfd18b590ae4b1aa38b933ed392b08c3be2a433f9a811b77458",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-22T08:24:40Z",
    "title_canon_sha256": "b6392a55cf6abc91213a08db630f04608f7e128479d448a1d69a733d039750a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4256",
    "kind": "arxiv",
    "version": 2
  }
}