Pith Number

pith:ES2U53QY

pith:2021:ES2U53QYQL56V2XJIJ4GULUM6Z

not attested not anchored not stored refs pending

An F-modulated stability framework for multistep methods

Chaoyu Quan, Dong Li, Wen Yang

arxiv:2111.05210 v1 · 2021-11-09 · math.NA · cs.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ES2U53QYQL56V2XJIJ4GULUM6Z}

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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.

Cited by

1 paper in Pith

Energy Dissipation Analysis of Implicit-Explicit Linear Multistep Methods for Gradient Flows Using a Simple Multiplier

Receipt and verification

First computed	2026-07-05T03:30:22.659046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b54eee1882fbeaeae942786a2e8cf66a0272be61c3ae998c2f0913ecc09e8a

Aliases

arxiv: 2111.05210 · arxiv_version: 2111.05210v1 · doi: 10.48550/arxiv.2111.05210 · pith_short_12: ES2U53QYQL56 · pith_short_16: ES2U53QYQL56V2XJ · pith_short_8: ES2U53QY

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/ES2U53QYQL56V2XJIJ4GULUM6Z \
  | 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: 24b54eee1882fbeaeae942786a2e8cf66a0272be61c3ae998c2f0913ecc09e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f4edcc7203e6aa764f20ca59779a817550fc13b931bbba469ccead62fc3f809",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-11-09T15:46:42Z",
    "title_canon_sha256": "584e92231d2a6aa15cd440969bd75a7acad066ba436f90ce6b73a51eab84817c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05210",
    "kind": "arxiv",
    "version": 1
  }
}