Pith Number

pith:WHUTH4XT

pith:2018:WHUTH4XTXNXPIWZ3RLZRMJHNDY

not attested not anchored not stored refs pending

Modified Gravity at Astrophysical Scales

A. L. Maroto, J. Carro, M. \'Angeles P\'erez-Garc\'ia, M. Cerme\~no

arxiv:1811.11171 v2 · 2018-11-27 · astro-ph.SR · 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{WHUTH4XTXNXPIWZ3RLZRMJHNDY}

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	2026-05-17T23:52:45.365060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e933f2f3bb6ef45b3b8af31624ed1e10453d3c281f3bb1e3636cd1e253c732

Aliases

arxiv: 1811.11171 · arxiv_version: 1811.11171v2 · doi: 10.48550/arxiv.1811.11171 · pith_short_12: WHUTH4XTXNXP · pith_short_16: WHUTH4XTXNXPIWZ3 · pith_short_8: WHUTH4XT

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/WHUTH4XTXNXPIWZ3RLZRMJHNDY \
  | 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: b1e933f2f3bb6ef45b3b8af31624ed1e10453d3c281f3bb1e3636cd1e253c732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5252444dc5892b5a7f1afa7bd49700d68312ff021bc51c0cff967402c8c09e8c",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.SR",
    "submitted_at": "2018-11-27T18:59:59Z",
    "title_canon_sha256": "8ae0da234843ad53942e7b95c3d49d78cecfa7e5d802454cd9c6087edacca8fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11171",
    "kind": "arxiv",
    "version": 2
  }
}