Pith Number

pith:M4MYVTOX

pith:2020:M4MYVTOXYSMRGRRRN2WWZPT6TJ

not attested not anchored not stored refs pending

Functionally-fitted energy-preserving methods for solving oscillatory nonlinear Hamiltonian systems

Xinyuan Wu, Yu-Wen Li

arxiv:2012.13066 v1 · 2020-12-24 · 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{M4MYVTOXYSMRGRRRN2WWZPT6TJ}

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	2026-07-05T02:01:47.509241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67198acdd7c4991346316ead6cbe7e9a7b3a36f85197ef67ad81aa744f31b7e4

Aliases

arxiv: 2012.13066 · arxiv_version: 2012.13066v1 · doi: 10.48550/arxiv.2012.13066 · pith_short_12: M4MYVTOXYSMR · pith_short_16: M4MYVTOXYSMRGRRR · pith_short_8: M4MYVTOX

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/M4MYVTOXYSMRGRRRN2WWZPT6TJ \
  | 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: 67198acdd7c4991346316ead6cbe7e9a7b3a36f85197ef67ad81aa744f31b7e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "231331e0599012f80f4515e56232f4312ecbab5e3294e6a46740a0b143e8420d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-12-24T01:59:02Z",
    "title_canon_sha256": "64452a84d7edcf95e57c3e0c34e4b2ea07993f3f47c3c6e570e77762d8681a81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.13066",
    "kind": "arxiv",
    "version": 1
  }
}