Pith Number

pith:XCTM3WJB

pith:2018:XCTM3WJBWMWX3SWJCF3KPXGLFU

not attested not anchored not stored refs pending

Quansinormal modes of static and spherically symmetric black holes with the derivative coupling

Changjun Gao, Shuang Yu

arxiv:1807.05024 v2 · 2018-07-13 · 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{XCTM3WJBWMWX3SWJCF3KPXGLFU}

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	2026-05-17T23:55:56.068179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8a6cdd921b32d7dcac91176a7dccb2d1e68ebad9b6d8ee976b172f20de086be

Aliases

arxiv: 1807.05024 · arxiv_version: 1807.05024v2 · doi: 10.48550/arxiv.1807.05024 · pith_short_12: XCTM3WJBWMWX · pith_short_16: XCTM3WJBWMWX3SWJ · pith_short_8: XCTM3WJB

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/XCTM3WJBWMWX3SWJCF3KPXGLFU \
  | 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: b8a6cdd921b32d7dcac91176a7dccb2d1e68ebad9b6d8ee976b172f20de086be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5486b795a2c2ab536a2e908742cdbfbacc231f863143ac38672f056da8a585e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-07-13T11:57:00Z",
    "title_canon_sha256": "fc2843298bb64f411c49c39e1ab918713e3210e6fc56b29d3511b69f59d7614a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05024",
    "kind": "arxiv",
    "version": 2
  }
}