Pith Number

pith:5PLW5Z2K

pith:2010:5PLW5Z2K43R7BCHAVH4JIAKT6I

not attested not anchored not stored refs pending

High-order quantum back-reaction and quantum cosmology with a positive cosmological constant

David Brizuela, Hector H. Hernandez, Hugo A. Morales-Tecotl, Martin Bojowald, Michael J. Koop

arxiv:1011.3022 v2 · 2010-11-12 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PLW5Z2K43R7BCHAVH4JIAKT6I}

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	2026-05-18T04:13:39.430249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebd76ee74ae6e3f088e0a9f8940153f2234ae1c503c37e15eda83b1fa96c69bf

Aliases

arxiv: 1011.3022 · arxiv_version: 1011.3022v2 · doi: 10.48550/arxiv.1011.3022 · pith_short_12: 5PLW5Z2K43R7 · pith_short_16: 5PLW5Z2K43R7BCHA · pith_short_8: 5PLW5Z2K

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/5PLW5Z2K43R7BCHAVH4JIAKT6I \
  | 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: ebd76ee74ae6e3f088e0a9f8940153f2234ae1c503c37e15eda83b1fa96c69bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a77aa7d1cf02a0ff7e794e82a6f7462183d7027ad2d87ba10231096b01c5112",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-12T20:08:33Z",
    "title_canon_sha256": "50d7cd874d7cafba484ced8fb6493164e3935339b0c0c612f5d89fe67978dd5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3022",
    "kind": "arxiv",
    "version": 2
  }
}