Pith Number

pith:SGBNG5GQ

pith:2016:SGBNG5GQATBIV2YNXOYUO3GDKS

not attested not anchored not stored refs pending

Propagation of gravitational waves in an expanding background in the presence of a point mass

D. Papadopoulos, I. Antoniou, L. Perivolaropoulos

arxiv:1607.08103 v2 · 2016-07-27 · 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{SGBNG5GQATBIV2YNXOYUO3GDKS}

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	2026-05-18T01:01:53.239667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9182d374d004c28aeb0dbbb1476cc354b2dbbc1782251e3ca4ca0459f7cc5db0

Aliases

arxiv: 1607.08103 · arxiv_version: 1607.08103v2 · doi: 10.48550/arxiv.1607.08103 · pith_short_12: SGBNG5GQATBI · pith_short_16: SGBNG5GQATBIV2YN · pith_short_8: SGBNG5GQ

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/SGBNG5GQATBIV2YNXOYUO3GDKS \
  | 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: 9182d374d004c28aeb0dbbb1476cc354b2dbbc1782251e3ca4ca0459f7cc5db0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3a9c4a69013d60fcaec73e0b9ba2045bbd9a3fd8ba99f98b7ce5608d852627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-07-27T14:18:08Z",
    "title_canon_sha256": "df9d5cc1469a9aaa55f867c4f1a2f4ea8b8ac10f6bb8545785ea908fb470a10d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.08103",
    "kind": "arxiv",
    "version": 2
  }
}