Pith Number

pith:FNR4RFXM

pith:2026:FNR4RFXM62L7NO45ZI7EMRZR3F

not attested not anchored not stored refs pending

Energy Dissipation Analysis of Implicit-Explicit Linear Multistep Methods for Gradient Flows Using General Multipliers

Chaoyu Quan, Chuanju Xu, Huaijin Wang, Xuping Wang

arxiv:2606.22290 v1 · 2026-06-21 · 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{FNR4RFXM62L7NO45ZI7EMRZR3F}

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	2026-06-23T02:13:34.071367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b63c896ecf697f6bb9dca3e464731d95c404d6b91940563a51d29547ac3a438

Aliases

arxiv: 2606.22290 · arxiv_version: 2606.22290v1 · doi: 10.48550/arxiv.2606.22290 · pith_short_12: FNR4RFXM62L7 · pith_short_16: FNR4RFXM62L7NO45 · pith_short_8: FNR4RFXM

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/FNR4RFXM62L7NO45ZI7EMRZR3F \
  | 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: 2b63c896ecf697f6bb9dca3e464731d95c404d6b91940563a51d29547ac3a438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bd736054642e13484440c21c40bb4a81e85ca7dff1f285841e2e8256d153dd7",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-21T01:18:41Z",
    "title_canon_sha256": "9f4f663c00112466f99bcbb7d7074975cf79491319077272224d0dd1c2f9da6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22290",
    "kind": "arxiv",
    "version": 1
  }
}