Pith Number

pith:IK3ZW2A2

pith:2026:IK3ZW2A2Z766HEV5ABNYJEWOUH

not attested not anchored not stored refs pending

Constructive Euclidean Proofs of the Equivalence Between Keplerian Orbits and Newton's Inverse-Square Law

Changchun Shi

arxiv:2608.02676 v1 · 2026-08-02 · 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{IK3ZW2A2Z766HEV5ABNYJEWOUH}

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	2026-08-05T00:38:55.772146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42b79b681acffde392bd005b8492cea1fb1f88ebfda5ff2dd72122116d4cc278

Aliases

arxiv: 2608.02676 · arxiv_version: 2608.02676v1 · doi: 10.48550/arxiv.2608.02676 · pith_short_12: IK3ZW2A2Z766 · pith_short_16: IK3ZW2A2Z766HEV5 · pith_short_8: IK3ZW2A2

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/IK3ZW2A2Z766HEV5ABNYJEWOUH \
  | 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: 42b79b681acffde392bd005b8492cea1fb1f88ebfda5ff2dd72122116d4cc278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94c68cf9e436b63fd8b3e7498a5a77ddbcda07dabfdea940ce6e3ea08d2dcfd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2026-08-02T19:34:40Z",
    "title_canon_sha256": "b192261d5f7f805ac40de38d2691132c8b5478453ee99327df5f86258840854c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.02676",
    "kind": "arxiv",
    "version": 1
  }
}