Pith Number

pith:PXYZODBW

pith:2022:PXYZODBWQ3I6L4B5CVSPSLXIGF

not attested not anchored not stored refs pending

Echoes of axial gravitational perturbations in stars of uniform density

Kai Lin, Wei-Liang Qian

arxiv:2204.09531 v4 · 2022-04-20 · 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{PXYZODBWQ3I6L4B5CVSPSLXIGF}

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	2026-07-05T06:46:43.101029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df1970c3686d1e5f03d1564f92ee8314442fa76dcf7f5c009d0a944f7171fe4

Aliases

arxiv: 2204.09531 · arxiv_version: 2204.09531v4 · doi: 10.48550/arxiv.2204.09531 · pith_short_12: PXYZODBWQ3I6 · pith_short_16: PXYZODBWQ3I6L4B5 · pith_short_8: PXYZODBW

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/PXYZODBWQ3I6L4B5CVSPSLXIGF \
  | 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: 7df1970c3686d1e5f03d1564f92ee8314442fa76dcf7f5c009d0a944f7171fe4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9d7fc3933f7fcb8137e24213162c54ba4dcff8d3005bcc56f94fb83acb5f95f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-04-20T15:10:55Z",
    "title_canon_sha256": "09b817a218d47ef5b875468eb357241ee655946f0cfac9e3ea20a68940f4887b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.09531",
    "kind": "arxiv",
    "version": 4
  }
}