Pith Number

pith:Z7X7P4H6

pith:2017:Z7X7P4H6JBDWZMGG7LULYCSZKB

not attested not anchored not stored refs pending

A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems

Bin Wang, Xinyuan Wu

arxiv:1712.04969 v3 · 2017-12-13 · math.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{Z7X7P4H6JBDWZMGG7LULYCSZKB}

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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	2026-05-18T00:12:32.560140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfeff7f0fe48476cb0c6fae8bc0a59505aa56fa45dd0c5a46736eb653d7cb363

Aliases

arxiv: 1712.04969 · arxiv_version: 1712.04969v3 · doi: 10.48550/arxiv.1712.04969 · pith_short_12: Z7X7P4H6JBDW · pith_short_16: Z7X7P4H6JBDWZMGG · pith_short_8: Z7X7P4H6

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/Z7X7P4H6JBDWZMGG7LULYCSZKB \
  | 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: cfeff7f0fe48476cb0c6fae8bc0a59505aa56fa45dd0c5a46736eb653d7cb363

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ac9e135b9e6e11a30376bc3bab573c6a73c5df36a77eeb9a36ed987cc5566ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-12-13T19:28:19Z",
    "title_canon_sha256": "08bd89f3c6355d0ef2a68f3616f9a072e8a5b850b4c9ba36d67960d01a2b245a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04969",
    "kind": "arxiv",
    "version": 3
  }
}