Pith Number

pith:M3AWRRQJ

pith:2011:M3AWRRQJJZWRBB55PIVQFRYZLV

not attested not anchored not stored refs pending

Application of Explicit Symplectic Algorithms to Integration of Damping Oscillators

Tianshu Luo, Yimu Guo

arxiv:1103.1455 v1 · 2011-03-08 · 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{M3AWRRQJJZWRBB55PIVQFRYZLV}

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	2026-05-18T04:27:15.824419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c168c6094e6d1087bd7a2b02c7195d6c8429458b47afc33067cf2e1d36b4c8

Aliases

arxiv: 1103.1455 · arxiv_version: 1103.1455v1 · doi: 10.48550/arxiv.1103.1455 · pith_short_12: M3AWRRQJJZWR · pith_short_16: M3AWRRQJJZWRBB55 · pith_short_8: M3AWRRQJ

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/M3AWRRQJJZWRBB55PIVQFRYZLV \
  | 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: 66c168c6094e6d1087bd7a2b02c7195d6c8429458b47afc33067cf2e1d36b4c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d733fbb1468f54f2d9a34813545d200146217cd6e851f4189d6c8755daa93a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-08T08:03:21Z",
    "title_canon_sha256": "55e100eb72dfcd165e720409e67a3ff2d0a75cb8f6ba13e9af09f51ec67db6ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1455",
    "kind": "arxiv",
    "version": 1
  }
}