Pith Number

pith:KXXGN4OE

pith:2018:KXXGN4OEZRAHIPPDCTLAZ5Y4V6

not attested not anchored not stored refs pending

Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters

Akshay Rana, Amitabha Mukherjee, Deepak Jain, Shobhit Mahajan

arxiv:1801.03309 v2 · 2018-01-10 · astro-ph.CO · astro-ph.GA · astro-ph.HE · 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{KXXGN4OEZRAHIPPDCTLAZ5Y4V6}

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	2026-05-18T00:18:31.082430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55ee66f1c4cc40743de314d60cf71caf8b70a39bd0218881f565424d43cc9945

Aliases

arxiv: 1801.03309 · arxiv_version: 1801.03309v2 · doi: 10.48550/arxiv.1801.03309 · pith_short_12: KXXGN4OEZRAH · pith_short_16: KXXGN4OEZRAHIPPD · pith_short_8: KXXGN4OE

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/KXXGN4OEZRAHIPPDCTLAZ5Y4V6 \
  | 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: 55ee66f1c4cc40743de314d60cf71caf8b70a39bd0218881f565424d43cc9945

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7fde66694bef04a59c3170765a0d4516fca4a140b0ab13470db6829136d6d8b",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.HE",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-01-10T11:02:39Z",
    "title_canon_sha256": "5e4e8146ca043cf6ea618d51ac2ceeb6b1aa4e4796076d97d93de6af380b241e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03309",
    "kind": "arxiv",
    "version": 2
  }
}