Pith Number

pith:PTFSEY5V

pith:2022:PTFSEY5V7AMSSRYDEDD75HGPIY

not attested not anchored not stored refs pending

A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes

Hongxing Zhang, Naying Zhou, Wenfang Liu, Xin Wu

arxiv:2201.02922 v1 · 2022-01-09 · gr-qc · 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{PTFSEY5V7AMSSRYDEDD75HGPIY}

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	2026-07-05T04:09:44.072166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ccb2263b5f81929470320c7fe9ccf4629d4ed8575c41a35c0069e84520981c2

Aliases

arxiv: 2201.02922 · arxiv_version: 2201.02922v1 · doi: 10.48550/arxiv.2201.02922 · pith_short_12: PTFSEY5V7AMS · pith_short_16: PTFSEY5V7AMSSRYD · pith_short_8: PTFSEY5V

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/PTFSEY5V7AMSSRYDEDD75HGPIY \
  | 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: 7ccb2263b5f81929470320c7fe9ccf4629d4ed8575c41a35c0069e84520981c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c415eac9e416f1c471e90dbf6beb014eb23a6fa817b2e61cc3bd9966e769e53",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-01-09T04:22:39Z",
    "title_canon_sha256": "8278a22809d03ca47e822a54782a9b4313b3438bcbd33c19a8850cb5f4d2f0e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.02922",
    "kind": "arxiv",
    "version": 1
  }
}