Pith Number

pith:O735DTKI

pith:2021:O735DTKIZOQ4TQXACQRQ4445Z7

not attested not anchored not stored refs pending

Galaxy clusters, cosmic chronometers and the Einstein equivalence principle

I. E. C. R. Mendon\c{c}a, Kamal Bora, R. F. L. Holanda, Shantanu Desai

arxiv:2107.14169 v3 · 2021-07-29 · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O735DTKIZOQ4TQXACQRQ4445Z7}

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	2026-07-05T03:27:04.074583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f7d1cd48cba1c9c2e014230e739dcfe62db83658b7825380d08f311d861dbc

Aliases

arxiv: 2107.14169 · arxiv_version: 2107.14169v3 · doi: 10.48550/arxiv.2107.14169 · pith_short_12: O735DTKIZOQ4 · pith_short_16: O735DTKIZOQ4TQXA · pith_short_8: O735DTKI

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/O735DTKIZOQ4TQXACQRQ4445Z7 \
  | 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: 77f7d1cd48cba1c9c2e014230e739dcfe62db83658b7825380d08f311d861dbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c26cdbd416166327e67b016ee397b395f0afaf9b1adeda0d767c56bb7d6459",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-07-29T16:47:05Z",
    "title_canon_sha256": "f2ec7068c6172afea1e83bc9227a00d9fd8581167356e8c2c093247af945a42f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.14169",
    "kind": "arxiv",
    "version": 3
  }
}