Pith Number

pith:TSWOSHWR

pith:2022:TSWOSHWRW6JMTEDRRWPF3XQHIW

not attested not anchored not stored refs pending

Explicit symplectic methods in black hole spacetimes

Fu-Yao Liu, Wei Sun, Wen-Biao Han, Xin Wu, Ying Wang

arxiv:2210.13185 v1 · 2022-10-21 · gr-qc · 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{TSWOSHWRW6JMTEDRRWPF3XQHIW}

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

Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime

Receipt and verification

First computed	2026-07-05T05:22:58.616289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cace91ed1b792c990718d9e5dde0745983fe4a5c12d1f324f74e4598564e972

Aliases

arxiv: 2210.13185 · arxiv_version: 2210.13185v1 · doi: 10.48550/arxiv.2210.13185 · pith_short_12: TSWOSHWRW6JM · pith_short_16: TSWOSHWRW6JMTEDR · pith_short_8: TSWOSHWR

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/TSWOSHWRW6JMTEDRRWPF3XQHIW \
  | 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: 9cace91ed1b792c990718d9e5dde0745983fe4a5c12d1f324f74e4598564e972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "761d76a5f7ff73b8755b35918375db666ec3e5623337546e9074361243e03b51",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-10-21T02:26:45Z",
    "title_canon_sha256": "05615c74e3efcc11ccf696ea0d6903543fca647a68367b00a58a7eec6b291feb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.13185",
    "kind": "arxiv",
    "version": 1
  }
}