Pith Number

pith:X4MRIGML

pith:2021:X4MRIGMLJBG2OK3G3LWUS4YF3A

not attested not anchored not stored refs pending

Anisotropic separate universe and Weinberg's adiabatic mode

Takahiro Tanaka, Yuko Urakawa

arxiv:2101.05707 v1 · 2021-01-14 · astro-ph.CO · gr-qc · 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{X4MRIGMLJBG2OK3G3LWUS4YF3A}

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

Nonlinear Lattice Framework for Inflation: Bridging stochastic inflation and the $\delta{N}$ formalism

Receipt and verification

First computed	2026-07-05T03:02:44.498364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf1914198b484da72b66daed497305d826dfb9ed7429df10250f07fd77361cde

Aliases

arxiv: 2101.05707 · arxiv_version: 2101.05707v1 · doi: 10.48550/arxiv.2101.05707 · pith_short_12: X4MRIGMLJBG2 · pith_short_16: X4MRIGMLJBG2OK3G · pith_short_8: X4MRIGML

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/X4MRIGMLJBG2OK3G3LWUS4YF3A \
  | 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: bf1914198b484da72b66daed497305d826dfb9ed7429df10250f07fd77361cde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d92a463cfd393d3e0537ace46e52d30c28306cf76f323a11edcaeff0fcdedc3d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-01-14T16:31:07Z",
    "title_canon_sha256": "4195afc12a6ad832d8791cb92ee898240d1a4715a97cf7b9f1b80f986e1eb9d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05707",
    "kind": "arxiv",
    "version": 1
  }
}