Pith Number

pith:ZE3RDMGS

pith:2008:ZE3RDMGSEXRIG6PJBZDVP7APSV

not attested not anchored not stored refs pending

Preservation of stability properties near fixed points of linear hamiltonian systems by symplectic integrators

Geng Sun, Hongyu Liu, Lingshu Wang, Xiaohua Ding, Zaijiu Shang

arxiv:0802.2121 v1 · 2008-02-14 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZE3RDMGSEXRIG6PJBZDVP7APSV}

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	2026-06-03T22:06:04.490046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c93711b0d225e28379e90e4757fc0f954e61037cecfc3986aa8c848d1bfa19cf

Aliases

arxiv: 0802.2121 · arxiv_version: 0802.2121v1 · doi: 10.48550/arxiv.0802.2121 · pith_short_12: ZE3RDMGSEXRI · pith_short_16: ZE3RDMGSEXRIG6PJ · pith_short_8: ZE3RDMGS

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/ZE3RDMGSEXRIG6PJBZDVP7APSV \
  | 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: c93711b0d225e28379e90e4757fc0f954e61037cecfc3986aa8c848d1bfa19cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e28789969477bb1f2ab51c7028bf08aaf2534e713dfceb71a7be110b1195ad",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2008-02-14T23:55:39Z",
    "title_canon_sha256": "036502179727b251dee4709969fad2ae58eb44a95d51879e5f760306964b3125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2121",
    "kind": "arxiv",
    "version": 1
  }
}