Pith Number

pith:MQNAWPMV

pith:2019:MQNAWPMV5FXLOWXGKU3W2C7RFX

not attested not anchored not stored refs pending

Mixing of gravitational wave echoes

Yun-Song Piao, Zhi-Peng Li

arxiv:1904.05652 v1 · 2019-04-11 · gr-qc · astro-ph.HE · 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{MQNAWPMV5FXLOWXGKU3W2C7RFX}

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.

Cited by

1 paper in Pith

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres

Receipt and verification

First computed	2026-07-04T23:58:48.211525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

641a0b3d95e96eb75ae655376d0bf12df622837f61ad38a7c3e7937b95dee5b3

Aliases

arxiv: 1904.05652 · arxiv_version: 1904.05652v1 · doi: 10.48550/arxiv.1904.05652 · pith_short_12: MQNAWPMV5FXL · pith_short_16: MQNAWPMV5FXLOWXG · pith_short_8: MQNAWPMV

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/MQNAWPMV5FXLOWXGKU3W2C7RFX \
  | 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: 641a0b3d95e96eb75ae655376d0bf12df622837f61ad38a7c3e7937b95dee5b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38f4ff3777d1bfef3955c950cc6513ff3b4797ee59c5076411f11c48f22dfa79",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-04-11T12:10:13Z",
    "title_canon_sha256": "23611193e881b224f8e71cfb0c7d861c13642f98a111c6f1208fc1a431e49e7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.05652",
    "kind": "arxiv",
    "version": 1
  }
}