Pith Number

pith:OM3L2DHE

pith:2026:OM3L2DHEJQDEIMMAA365ZI67QN

not attested not anchored not stored refs pending

Theoretical analysis of the maximum range of a projectile released from a pendulum

Ken Yamamoto

arxiv:2608.09157 v1 · 2026-08-10 · math-ph · math.MP · 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{OM3L2DHEJQDEIMMAA365ZI67QN}

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	2026-08-11T02:21:56.257681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7336bd0ce44c0644318006fddca3df836af29ed9c1e469354cf05f00312f29d7

Aliases

arxiv: 2608.09157 · arxiv_version: 2608.09157v1 · doi: 10.48550/arxiv.2608.09157 · pith_short_12: OM3L2DHEJQDE · pith_short_16: OM3L2DHEJQDEIMMA · pith_short_8: OM3L2DHE

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/OM3L2DHEJQDEIMMAA365ZI67QN \
  | 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: 7336bd0ce44c0644318006fddca3df836af29ed9c1e469354cf05f00312f29d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a79256f9b9a53100e01faf80974c404f0bd1179b9008695a16de9eb137f04384",
    "cross_cats_sorted": [
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-10T06:05:47Z",
    "title_canon_sha256": "39536b7723c781b93cf2d86633fda617d3d734140cdf38ee9b89b5dca5d7d4ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09157",
    "kind": "arxiv",
    "version": 1
  }
}