Pith Number

pith:XOCK7AHA

pith:2021:XOCK7AHADZH4CUN7DLVFOM65CO

not attested not anchored not stored refs pending

Construction of explicit symplectic integrators in general relativity. III. Reissner-Nordstrom-(anti)-de Sitter black holes

Fuyao Liu, Wei Sun, Xin Wu, Ying Wang

arxiv:2103.12272 v1 · 2021-03-23 · gr-qc · astro-ph.IM · nlin.CD · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOCK7AHADZH4CUN7DLVFOM65CO}

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

Chaotic motion of the charged test particle in a Kerr-MOG black hole with explicit symplectic algorithms

Receipt and verification

First computed	2026-07-05T02:37:11.390150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb84af80e01e4fc151bf1aea5733dd13870aaf7ae66310a1133ca795cff5af95

Aliases

arxiv: 2103.12272 · arxiv_version: 2103.12272v1 · doi: 10.48550/arxiv.2103.12272 · pith_short_12: XOCK7AHADZH4 · pith_short_16: XOCK7AHADZH4CUN7 · pith_short_8: XOCK7AHA

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/XOCK7AHADZH4CUN7DLVFOM65CO \
  | 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: bb84af80e01e4fc151bf1aea5733dd13870aaf7ae66310a1133ca795cff5af95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "995bd7cfe401e3fb233b611a65dbd336eef6381538051d921e85b1862fdc7a47",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "nlin.CD",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-03-23T02:44:50Z",
    "title_canon_sha256": "f8022e9f81a6c4dd623d1e74a3227583923e9adc05aac48c312ca578f8186369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.12272",
    "kind": "arxiv",
    "version": 1
  }
}