Pith Number

pith:K7UZEYQX

pith:2026:K7UZEYQXGFQ7ORCJ4RNSXDG342

not attested not anchored not stored refs pending

Granular mass perturbations on the pulsar - supermassive black hole system

Lijing Shao, Zexin Hu

arxiv:2606.04762 v1 · 2026-06-03 · astro-ph.HE · 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{K7UZEYQXGFQ7ORCJ4RNSXDG342}

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	2026-06-04T01:09:28.992373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57e99262173161f74449e45b2b8cdbe681bba21721bfb08b692fed2a22b14d31

Aliases

arxiv: 2606.04762 · arxiv_version: 2606.04762v1 · doi: 10.48550/arxiv.2606.04762 · pith_short_12: K7UZEYQXGFQ7 · pith_short_16: K7UZEYQXGFQ7ORCJ · pith_short_8: K7UZEYQX

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/K7UZEYQXGFQ7ORCJ4RNSXDG342 \
  | 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: 57e99262173161f74449e45b2b8cdbe681bba21721bfb08b692fed2a22b14d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6bda3294385f03d94b341b679330bb934e02ad45dc3863c2e7e2941fdf01189",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2026-06-03T11:47:09Z",
    "title_canon_sha256": "46996047073eaaf727adb2b99770fe7a4b2944fe91f3303ce0494bdcc8f3f8fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04762",
    "kind": "arxiv",
    "version": 1
  }
}