Pith Number

pith:VKBYSBZ7

pith:2000:VKBYSBZ7V7XPCLRN4XUBRLGW7H

not attested not anchored not stored refs pending

Super-Hubble Nonlinear Perturbations During Inflation

Niayesh Afshordi, Robert Brandenberger

arxiv:gr-qc/0011075 v2 · 2000-11-22 · gr-qc · astro-ph · 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{VKBYSBZ7V7XPCLRN4XUBRLGW7H}

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

Primordial Black Hole from Tensor-induced Density Fluctuation: First-order Phase Transitions and Domain Walls

Receipt and verification

First computed	2026-07-04T15:48:33.318174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa8389073fafeef12e2de5e818acd6f9fb3e1095179ee8792f7323e257eab0ef

Aliases

arxiv: gr-qc/0011075 · arxiv_version: gr-qc/0011075v2 · doi: 10.48550/arxiv.gr-qc/0011075 · pith_short_12: VKBYSBZ7V7XP · pith_short_16: VKBYSBZ7V7XPCLRN · pith_short_8: VKBYSBZ7

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/VKBYSBZ7V7XPCLRN4XUBRLGW7H \
  | 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: aa8389073fafeef12e2de5e818acd6f9fb3e1095179ee8792f7323e257eab0ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68b69ac9b32547b3c4e8fef115a30b6d3f1c975619f4dd5d0920a45d1629404e",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-11-22T07:19:21Z",
    "title_canon_sha256": "f4ebc16201a04bd570d1e9b465d932b04fda8a21e0b893b14400507795825226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0011075",
    "kind": "arxiv",
    "version": 2
  }
}