Pith Number

pith:MDJ6GYSX

pith:2011:MDJ6GYSXJ6NXFPWIN2SNQIYWB4

not attested not anchored not stored refs pending

Isotropic Observers and the Inflationary Backreaction Problem

G. Marozzi, G. P. Vacca

arxiv:1108.1363 v3 · 2011-08-05 · gr-qc · astro-ph.CO · 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{MDJ6GYSXJ6NXFPWIN2SNQIYWB4}

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.

Cited by

1 paper in Pith

Tensor-Induced Backreaction in Ultra-Slow-Roll Inflation

Receipt and verification

First computed	2026-05-18T03:55:47.057184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d3e362574f9b72bec86ea4d823160f0dc108047082132557b4066208838f53

Aliases

arxiv: 1108.1363 · arxiv_version: 1108.1363v3 · doi: 10.48550/arxiv.1108.1363 · pith_short_12: MDJ6GYSXJ6NX · pith_short_16: MDJ6GYSXJ6NXFPWI · pith_short_8: MDJ6GYSX

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/MDJ6GYSXJ6NXFPWIN2SNQIYWB4 \
  | 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: 60d3e362574f9b72bec86ea4d823160f0dc108047082132557b4066208838f53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "285c4bbd82c12ac09b7fd0e77a6819f86880916a522b483224f120c0324fe35f",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-05T16:18:48Z",
    "title_canon_sha256": "fc0060b1459ebde20dcf26a70540e57161ba6a5031ce0b1bc5a92f5e4b549c72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1363",
    "kind": "arxiv",
    "version": 3
  }
}