Pith Number

pith:5SJ7RBRI

pith:2021:5SJ7RBRI5AI5XKPOZ2BLVDEBSO

not attested not anchored not stored refs pending

Oscillating gravitational potential due to ultralight axion: linear theory

Hyerim Noh, Jai-chan Hwang

arxiv:2111.07502 v2 · 2021-11-15 · astro-ph.CO · gr-qc · 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{5SJ7RBRI5AI5XKPOZ2BLVDEBSO}

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	2026-07-05T03:38:40.240871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec93f88628e811dba9eece82ba8c819392a64612b542f23a09392a21fc302844

Aliases

arxiv: 2111.07502 · arxiv_version: 2111.07502v2 · doi: 10.48550/arxiv.2111.07502 · pith_short_12: 5SJ7RBRI5AI5 · pith_short_16: 5SJ7RBRI5AI5XKPO · pith_short_8: 5SJ7RBRI

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/5SJ7RBRI5AI5XKPOZ2BLVDEBSO \
  | 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: ec93f88628e811dba9eece82ba8c819392a64612b542f23a09392a21fc302844

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50fdb8ca83ca7b714c98f2cdfc6c8cfa60ff86c09e50388238725952079c450d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-11-15T02:37:42Z",
    "title_canon_sha256": "87f7a560bf334b9a6d31e08dd08d72781965339969b5e9568311ba908d26b5fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07502",
    "kind": "arxiv",
    "version": 2
  }
}