Pith Number

pith:ET6NSYYT

pith:2026:ET6NSYYTZGRPI3PUI7ER4JE53L

not attested not anchored not stored refs pending

A second-order product-type implicit-explicit Runge-Kutta method preserving unit length and energy dissipation structures for gradient flows of vector fields

Jianan Li, Jiang Yang, Shuang Liu, Tao Tang

arxiv:2605.19942 v1 · 2026-05-19 · 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{ET6NSYYTZGRPI3PUI7ER4JE53L}

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	2026-05-20T02:05:56.332100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24fcd96313c9a2f46df447c91e249ddace2ab28b148e3a2ee35d970b607618c6

Aliases

arxiv: 2605.19942 · arxiv_version: 2605.19942v1 · doi: 10.48550/arxiv.2605.19942 · pith_short_12: ET6NSYYTZGRP · pith_short_16: ET6NSYYTZGRPI3PU · pith_short_8: ET6NSYYT

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/ET6NSYYTZGRPI3PUI7ER4JE53L \
  | 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: 24fcd96313c9a2f46df447c91e249ddace2ab28b148e3a2ee35d970b607618c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16f0baa985e34336681db9617a970ef55fa5c48d461c0186b8fcf70c70f32cdc",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-19T15:00:18Z",
    "title_canon_sha256": "815123b56361e0082aee1bfe8cdbcc3999971cf698897c311130a2fbc7ce2e32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19942",
    "kind": "arxiv",
    "version": 1
  }
}