Pith Number

pith:XPLMJBON

pith:2026:XPLMJBONFRFONPCA6FCMWPVOPT

not attested not anchored not stored refs pending

Design Principle for Mode-Consistent Galerkin Closure under a Physical Energy Metric for Hyperbolic Systems

Hirofumi Tomita

arxiv:2607.05781 v1 · 2026-07-07 · math.NA · cs.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPLMJBONFRFONPCA6FCMWPVOPT}

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	2026-07-08T01:18:44.855811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd6c485cd2c4ae6bc40f144cb3eae7cf76938fb7618195664d66caa91285657

Aliases

arxiv: 2607.05781 · arxiv_version: 2607.05781v1 · doi: 10.48550/arxiv.2607.05781 · pith_short_12: XPLMJBONFRFO · pith_short_16: XPLMJBONFRFONPCA · pith_short_8: XPLMJBON

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/XPLMJBONFRFONPCA6FCMWPVOPT \
  | 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: bbd6c485cd2c4ae6bc40f144cb3eae7cf76938fb7618195664d66caa91285657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b0316dd197a6bcebf83b7ccbc81e869a259554d40699f24764c183d5a8f99d6",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-07T03:12:16Z",
    "title_canon_sha256": "98b5ebcc1020ada05637b1780c9b0e073719efcb399d2369fedfd80b1c31f4a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05781",
    "kind": "arxiv",
    "version": 1
  }
}