Pith Number

pith:Z7PFRVOR

pith:2013:Z7PFRVORKCNS6IPDHBOFCRMPQC

not attested not anchored not stored refs pending

Gyrations: The Missing Link Between Classical Mechanics with its Underlying Euclidean Geometry and Relativistic Mechanics with its Underlying Hyperbolic Geometry

Abraham A. Ungar

arxiv:1302.5678 v1 · 2013-02-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7PFRVORKCNS6IPDHBOFCRMPQC}

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	2026-05-18T03:32:46.106516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfde58d5d1509b2f21e3385c51458f8099dd80390c74d1db84dcb630abead8d2

Aliases

arxiv: 1302.5678 · arxiv_version: 1302.5678v1 · doi: 10.48550/arxiv.1302.5678 · pith_short_12: Z7PFRVORKCNS · pith_short_16: Z7PFRVORKCNS6IPD · pith_short_8: Z7PFRVOR

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/Z7PFRVORKCNS6IPDHBOFCRMPQC \
  | 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: cfde58d5d1509b2f21e3385c51458f8099dd80390c74d1db84dcb630abead8d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8bcfec4dd2c398ad48ef5703284359bcdb14a7480cef183e7cac7f9d4929880",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-22T19:15:02Z",
    "title_canon_sha256": "3a1c3393bb2111b10b2d58ffd69bd28e584538418fc1561771a9f1c8320f0809"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5678",
    "kind": "arxiv",
    "version": 1
  }
}