Pith Number

pith:Z7O73ND5

pith:2025:Z7O73ND5UGNLB5U5T6HXZO72ER

not attested not anchored not stored refs pending

Integrals of motion on extremals of the equation Euler-Lagrange

V. P. Koshcheev

arxiv:2508.11735 v1 · 2025-08-15 · physics.class-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{Z7O73ND5UGNLB5U5T6HXZO72ER}

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	2026-07-05T11:54:53.340644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfddfdb47da19ab0f69d9f8f7cbbfa245bf80d28cffa05366d23beea98ae2747

Aliases

arxiv: 2508.11735 · arxiv_version: 2508.11735v1 · doi: 10.48550/arxiv.2508.11735 · pith_short_12: Z7O73ND5UGNL · pith_short_16: Z7O73ND5UGNLB5U5 · pith_short_8: Z7O73ND5

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/Z7O73ND5UGNLB5U5T6HXZO72ER \
  | 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: cfddfdb47da19ab0f69d9f8f7cbbfa245bf80d28cffa05366d23beea98ae2747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3127df1650819cf88e4b302d9969ee53c4788bd938cf1814164a037c3cdcf2c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2025-08-15T16:36:31Z",
    "title_canon_sha256": "1464c3e594bd605055c87224f4c24473d925b3146beeb95685800c70f17cbb45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.11735",
    "kind": "arxiv",
    "version": 1
  }
}