Pith Number

pith:4KH3SOBL

pith:2003:4KH3SOBLFH6ZYL3B5EA735RM5H

not attested not anchored not stored refs pending

Ballistic trajectory: parabola, ellipse, or what?

Lior M. Burko, Richard H. Price

arxiv:physics/0310049 v2 · 2003-10-11 · physics.class-ph · physics.ed-ph · physics.gen-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{4KH3SOBLFH6ZYL3B5EA735RM5H}

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	2026-05-18T01:38:08.675268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28fb9382b29fd9c2f61e901fdf62ce9f011a4666a7790ba58b55281db999bc1

Aliases

arxiv: physics/0310049 · arxiv_version: physics/0310049v2 · doi: 10.48550/arxiv.physics/0310049 · pith_short_12: 4KH3SOBLFH6Z · pith_short_16: 4KH3SOBLFH6ZYL3B · pith_short_8: 4KH3SOBL

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/4KH3SOBLFH6ZYL3B5EA735RM5H \
  | 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: e28fb9382b29fd9c2f61e901fdf62ce9f011a4666a7790ba58b55281db999bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fecfea68962662cf0d62cb2480fbac1d3760255816e54bd94e3d3e10679adeb",
    "cross_cats_sorted": [
      "physics.ed-ph",
      "physics.gen-ph"
    ],
    "license": "",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2003-10-11T19:19:10Z",
    "title_canon_sha256": "dab57e81e5fc8663de8f832661364bd0e43ce5ca4be6ce4e536efcb84512a705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0310049",
    "kind": "arxiv",
    "version": 2
  }
}