Pith Number

pith:KSGH5LRG

pith:2012:KSGH5LRGSHTMK42EPE5YGIPSFD

not attested not anchored not stored refs pending

Relative velocities, geometry, and expansion of space

David Klein, Sam Havens, Vicente J. Bol\'os

arxiv:1210.3161 v1 · 2012-10-11 · gr-qc · astro-ph.CO · 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{KSGH5LRGSHTMK42EPE5YGIPSFD}

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.

Cited by

1 paper in Pith

General Expressions for Measurable Parameters in Curved Spacetime

Receipt and verification

First computed	2026-05-18T03:43:28.242739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

548c7eae2691e6c57344793b8321f228cd5360f07ff2ff0f397773897b1afd53

Aliases

arxiv: 1210.3161 · arxiv_version: 1210.3161v1 · doi: 10.48550/arxiv.1210.3161 · pith_short_12: KSGH5LRGSHTM · pith_short_16: KSGH5LRGSHTMK42E · pith_short_8: KSGH5LRG

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/KSGH5LRGSHTMK42EPE5YGIPSFD \
  | 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: 548c7eae2691e6c57344793b8321f228cd5360f07ff2ff0f397773897b1afd53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "068dddee1471ff9866715823b54e46e7d29727b4e28a81457ec46fe4411b7615",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-10-11T09:31:13Z",
    "title_canon_sha256": "bfa2a1e3461336b67b071e5c2c790c0630a1e4294e679c3d9d266f3967eeef2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3161",
    "kind": "arxiv",
    "version": 1
  }
}