Pith Number

pith:3SFTF4NP

pith:2021:3SFTF4NPGNX52LLRILXUA32PRG

not attested not anchored not stored refs pending

Lessons from black hole quasinormal modes in modified gravity

Che-Yu Chen, Mariam Bouhmadi-L\'opez, Pisin Chen

arxiv:2103.01249 v1 · 2021-03-01 · gr-qc · astro-ph.GA · 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{3SFTF4NPGNX52LLRILXUA32PRG}

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	2026-07-05T02:19:16.444778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc8b32f1af336fdd2d7142ef406f4f898286dfe41ff70b09428b45c3df622576

Aliases

arxiv: 2103.01249 · arxiv_version: 2103.01249v1 · doi: 10.48550/arxiv.2103.01249 · pith_short_12: 3SFTF4NPGNX5 · pith_short_16: 3SFTF4NPGNX52LLR · pith_short_8: 3SFTF4NP

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/3SFTF4NPGNX52LLRILXUA32PRG \
  | 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: dc8b32f1af336fdd2d7142ef406f4f898286dfe41ff70b09428b45c3df622576

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf1d300775c45a0ae743ac6452b8af2ea60048a1cdcb61a40eeadbacc0874c2",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-03-01T19:02:11Z",
    "title_canon_sha256": "9710822109814f330b1f17e7fb39f85553d6ed93392e87c392f176fdc3179569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.01249",
    "kind": "arxiv",
    "version": 1
  }
}