Pith Number

pith:O7DKAZ4H

pith:2010:O7DKAZ4H32YQV53Y4YZS56QKRK

not attested not anchored not stored refs pending

Quantum backreaction in evolving FLRW spacetimes

Tomi Koivisto, Tomislav Prokopec

arxiv:1009.5510 v1 · 2010-09-28 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7DKAZ4H32YQV53Y4YZS56QKRK}

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	2026-05-18T04:28:29.547646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c6a06787deb10af778e6332efa0a8aa79f19f57c5afa8a191eb9f872ba6540

Aliases

arxiv: 1009.5510 · arxiv_version: 1009.5510v1 · doi: 10.48550/arxiv.1009.5510 · pith_short_12: O7DKAZ4H32YQ · pith_short_16: O7DKAZ4H32YQV53Y · pith_short_8: O7DKAZ4H

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/O7DKAZ4H32YQV53Y4YZS56QKRK \
  | 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: 77c6a06787deb10af778e6332efa0a8aa79f19f57c5afa8a191eb9f872ba6540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46353f145691208c43d31f489208d976f6e9bbdc1bf8d976f02c442b92eb1b7f",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-09-28T09:57:19Z",
    "title_canon_sha256": "07288d91b847ec7fec5704670047701e55c39da7d6ee363ce8d86a1f5077de20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5510",
    "kind": "arxiv",
    "version": 1
  }
}