Pith Number

pith:NYX4J3HQ

pith:2011:NYX4J3HQXVABGMIW3D4WUXIOKI

not attested not anchored not stored refs pending

Hubble's law and faster than light expansion speeds

Ali Kaya

arxiv:1107.5168 v1 · 2011-07-26 · 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{NYX4J3HQXVABGMIW3D4WUXIOKI}

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	2026-05-18T03:46:03.899349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e2fc4ecf0bd40133116d8f96a5d0e520fd06ca7b06c9c479c6a47b62a9fa5fb

Aliases

arxiv: 1107.5168 · arxiv_version: 1107.5168v1 · doi: 10.48550/arxiv.1107.5168 · pith_short_12: NYX4J3HQXVAB · pith_short_16: NYX4J3HQXVABGMIW · pith_short_8: NYX4J3HQ

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/NYX4J3HQXVABGMIW3D4WUXIOKI \
  | 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: 6e2fc4ecf0bd40133116d8f96a5d0e520fd06ca7b06c9c479c6a47b62a9fa5fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53734b5d4d36b2ac3c900880c816614afb4dabb9d3524236701ddc8a6b7b434a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2011-07-26T11:11:35Z",
    "title_canon_sha256": "5dc128a753313e1d5749da0d38dbeb1710f62278c3a902d85f31361dd89a8c66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5168",
    "kind": "arxiv",
    "version": 1
  }
}