Pith Number

pith:W7Z5IZEI

pith:2017:W7Z5IZEIINUQHCAE6WIAPAAHCT

not attested not anchored not stored refs pending

Galaxy Cluster A1689 in Modified MOND, MOG and Emergent Gravity

Alistair O. Hodson, Hongsheng Zhao

arxiv:1703.10219 v1 · 2017-03-29 · astro-ph.GA · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7Z5IZEIINUQHCAE6WIAPAAHCT}

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	2026-05-18T00:47:37.624071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7f3d464884369038804f59007800714fbc5459bd0b7e7acffdfaf37dfcc9bd8

Aliases

arxiv: 1703.10219 · arxiv_version: 1703.10219v1 · doi: 10.48550/arxiv.1703.10219 · pith_short_12: W7Z5IZEIINUQ · pith_short_16: W7Z5IZEIINUQHCAE · pith_short_8: W7Z5IZEI

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/W7Z5IZEIINUQHCAE6WIAPAAHCT \
  | 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: b7f3d464884369038804f59007800714fbc5459bd0b7e7acffdfaf37dfcc9bd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fd30ca8a74d3d621dcd7a3a73d2cbaf0d2591464c527487364245a0d62ba69e",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2017-03-29T20:00:02Z",
    "title_canon_sha256": "aab1557c18b13374d433c2bda12b2be24e9efc7363a421e06f5617be5e0632e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10219",
    "kind": "arxiv",
    "version": 1
  }
}