Pith Number

pith:K32OL2WQ

pith:2020:K32OL2WQ42TWARKY2R6YX5ETCQ

not attested not anchored not stored refs pending

Structure-preserving algorithms with uniform error bound and long-time energy conservation for highly oscillatory Hamiltonian systems

Bin Wang, Yaolin Jiang

arxiv:2010.06540 v2 · 2020-10-13 · 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{K32OL2WQ42TWARKY2R6YX5ETCQ}

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	2026-07-05T02:12:53.384403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56f4e5ead0e6a7604558d47d8bf493140f70e251da62a3c80489099b4384288b

Aliases

arxiv: 2010.06540 · arxiv_version: 2010.06540v2 · doi: 10.48550/arxiv.2010.06540 · pith_short_12: K32OL2WQ42TW · pith_short_16: K32OL2WQ42TWARKY · pith_short_8: K32OL2WQ

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/K32OL2WQ42TWARKY2R6YX5ETCQ \
  | 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: 56f4e5ead0e6a7604558d47d8bf493140f70e251da62a3c80489099b4384288b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1567df7252a54d448d5b87cab2f8e0965d0230e3148222521a152aaf1eefb805",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-10-13T16:46:49Z",
    "title_canon_sha256": "82e4b3ec8ca4f92dd93697d1b715a05d27df2927f18c1bb66664c57474bb4368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.06540",
    "kind": "arxiv",
    "version": 2
  }
}