Pith Number

pith:BDWAEIHO

pith:2024:BDWAEIHOPF67FOI5NTZFMMXAM4

not attested not anchored not stored refs pending

Explicit symplectic integrators with adaptive time steps in curved spacetimes

Dazhu Ma, Fuyao Liu, Wei Sun, Xin Wu, Ying Wang

arxiv:2412.01045 v2 · 2024-12-02 · gr-qc · astro-ph.IM · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BDWAEIHOPF67FOI5NTZFMMXAM4}

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	2026-07-05T09:44:17.620460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08ec0220ee797df2b91d6cf25632e0670224514075a10b14ab20bdfba5a2bda5

Aliases

arxiv: 2412.01045 · arxiv_version: 2412.01045v2 · doi: 10.48550/arxiv.2412.01045 · pith_short_12: BDWAEIHOPF67 · pith_short_16: BDWAEIHOPF67FOI5 · pith_short_8: BDWAEIHO

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/BDWAEIHOPF67FOI5NTZFMMXAM4 \
  | 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: 08ec0220ee797df2b91d6cf25632e0670224514075a10b14ab20bdfba5a2bda5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d849464fd1b55b6e7af801442e0d55bddac7dd3430f04b6f827fe4dba3644bcf",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-02T02:03:02Z",
    "title_canon_sha256": "d98f51728efa447b0cca92bae86aff13391a99aca9495d713f261e9f87e988eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01045",
    "kind": "arxiv",
    "version": 2
  }
}