Pith Number

pith:K2MMXTFD

pith:2025:K2MMXTFDSROJR5ZRMZ5F5IR6CZ

not attested not anchored not stored refs pending

Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens

Guansheng He, Wenbin Lin, Yi Xie

arxiv:2506.14184 v1 · 2025-06-17 · 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{K2MMXTFDSROJR5ZRMZ5F5IR6CZ}

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	2026-07-05T11:30:02.011286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5698cbcca3945c98f731667a5ea23e167d147a91af23253f936e304f0786aa03

Aliases

arxiv: 2506.14184 · arxiv_version: 2506.14184v1 · doi: 10.48550/arxiv.2506.14184 · pith_short_12: K2MMXTFDSROJ · pith_short_16: K2MMXTFDSROJR5ZR · pith_short_8: K2MMXTFD

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/K2MMXTFDSROJR5ZRMZ5F5IR6CZ \
  | 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: 5698cbcca3945c98f731667a5ea23e167d147a91af23253f936e304f0786aa03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696d6ff510ff5b60266b3bd03b482cdd30ae86cf08b7df5a177e58ba5d07bd86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-17T04:52:05Z",
    "title_canon_sha256": "dcd700ed90d2e562a63bf2ed123a80c7b6035c8376718cdade2960c1d14e2c87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14184",
    "kind": "arxiv",
    "version": 1
  }
}