Pith Number

pith:PX4K5W5T

pith:2021:PX4K5W5TKQKIEXZUPIKAXVWKYR

not attested not anchored not stored refs pending

General local energy-preserving integrators for solving multi-symplectic Hamiltonian PDEs

Xinyuan Wu, Yuwen Li

arxiv:2103.16065 v1 · 2021-03-30 · 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{PX4K5W5TKQKIEXZUPIKAXVWKYR}

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	2026-07-05T02:27:47.947039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df8aedbb35414825f347a140bd6cac47a617f8045ec583752a0ed90e86e8999

Aliases

arxiv: 2103.16065 · arxiv_version: 2103.16065v1 · doi: 10.48550/arxiv.2103.16065 · pith_short_12: PX4K5W5TKQKI · pith_short_16: PX4K5W5TKQKIEXZU · pith_short_8: PX4K5W5T

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/PX4K5W5TKQKIEXZUPIKAXVWKYR \
  | 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: 7df8aedbb35414825f347a140bd6cac47a617f8045ec583752a0ed90e86e8999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7f71b1e22cfe826efc1c9834593d8554ed3ff07818f0dfed69907d212dac92",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-03-30T04:28:12Z",
    "title_canon_sha256": "3027a447d96e0544ac6dc6158bc9e5f12421028593e531fc8e9ad89a188c4669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.16065",
    "kind": "arxiv",
    "version": 1
  }
}