Pith Number

pith:5YPQOYN5

pith:2024:5YPQOYN5KTQJXGPJYOKUFBY2RD

not attested not anchored not stored refs pending

Spatial anisotropies from long wavelength scalar and tensor modes

Jorge Nore\~na, Sean K. Reynolds, Thiago S. Pereira

arxiv:2412.15181 v2 · 2024-12-19 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YPQOYN5KTQJXGPJYOKUFBY2RD}

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	2026-07-05T10:42:40.427659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee1f0761bd54e09b99e9c39542871a88f31546ed8d930330f343c41a4be7f6c2

Aliases

arxiv: 2412.15181 · arxiv_version: 2412.15181v2 · doi: 10.48550/arxiv.2412.15181 · pith_short_12: 5YPQOYN5KTQJ · pith_short_16: 5YPQOYN5KTQJXGPJ · pith_short_8: 5YPQOYN5

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/5YPQOYN5KTQJXGPJYOKUFBY2RD \
  | 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: ee1f0761bd54e09b99e9c39542871a88f31546ed8d930330f343c41a4be7f6c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45ba767933346e96da5e380605c9b133e127a1e8bf7eeb602dc3323cafd4cf86",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-19T18:53:56Z",
    "title_canon_sha256": "2ef5f79bd0a662f0ea869e45e6d43a6243730261115d1d557528f6f4e7e722f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.15181",
    "kind": "arxiv",
    "version": 2
  }
}