Pith Number

pith:ZALIMX62

pith:2018:ZALIMX62RH4VBJRQQZFXFEU4ZK

not attested not anchored not stored refs pending

The interacting multiverse and its effect on the cosmic microwave background

Jo\~ao Morais, Manuel Kraemer, Mariam Bouhmadi-L\'opez, Salvador Robles-P\'erez

arxiv:1809.09133 v2 · 2018-09-24 · gr-qc · astro-ph.CO · hep-ph · 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{ZALIMX62RH4VBJRQQZFXFEU4ZK}

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	2026-05-17T23:52:27.148106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c816865fda89f950a630864b72929cca9083e02c58a0240e41283cc7c4d08346

Aliases

arxiv: 1809.09133 · arxiv_version: 1809.09133v2 · doi: 10.48550/arxiv.1809.09133 · pith_short_12: ZALIMX62RH4V · pith_short_16: ZALIMX62RH4VBJRQ · pith_short_8: ZALIMX62

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/ZALIMX62RH4VBJRQQZFXFEU4ZK \
  | 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: c816865fda89f950a630864b72929cca9083e02c58a0240e41283cc7c4d08346

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "044818d44c148b3f0c7cc3361c75027a4a2af8d6379d0fd11119c54c0e578c94",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-09-24T18:02:07Z",
    "title_canon_sha256": "81d7a15452cd432581ed1862070fbb1e9376b2364b1b2e89fdff4560c8edfdd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09133",
    "kind": "arxiv",
    "version": 2
  }
}