Pith Number

pith:2FAOQKQW

pith:2021:2FAOQKQWGDFOKLWI46RVM3EB2E

not attested not anchored not stored refs pending

Construction of Explicit Symplectic Integrators in General Relativity. I. Schwarzschild Black Holes

Fuyao Liu, Wei Sun, Xin Wu, Ying Wang

arxiv:2102.00373 v1 · 2021-01-31 · 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{2FAOQKQWGDFOKLWI46RVM3EB2E}

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	2026-07-05T02:11:10.971754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d140e82a1630cae52ec8e7a3566c81d13a39c5c081d6c279190660db031706a0

Aliases

arxiv: 2102.00373 · arxiv_version: 2102.00373v1 · doi: 10.48550/arxiv.2102.00373 · pith_short_12: 2FAOQKQWGDFO · pith_short_16: 2FAOQKQWGDFOKLWI · pith_short_8: 2FAOQKQW

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/2FAOQKQWGDFOKLWI46RVM3EB2E \
  | 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: d140e82a1630cae52ec8e7a3566c81d13a39c5c081d6c279190660db031706a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ea66eec01b33903f9631348eddbbba72303d52c38cd399809fa1a1fd3708e47",
    "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": "2021-01-31T04:04:57Z",
    "title_canon_sha256": "16ddac875d096703a4563dc550340645830ee1daa969362a57e33c3a42aaea47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.00373",
    "kind": "arxiv",
    "version": 1
  }
}