Pith Number

pith:AWBONH6S

pith:2019:AWBONH6SKDSIYD3557RH5IMNNA

not attested not anchored not stored refs pending

Time delay of timelike particles in gravitational lensing of Schwarzschild spacetime

Haotian Liu, Junji Jia

arxiv:1906.11833 v1 · 2019-06-27 · gr-qc · 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{AWBONH6SKDSIYD3557RH5IMNNA}

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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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T00:28:10.143067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0582e69fd250e48c0f7defe27ea18d682448e27b91410c1d8c2c215cd9cc580d

Aliases

arxiv: 1906.11833 · arxiv_version: 1906.11833v1 · doi: 10.48550/arxiv.1906.11833 · pith_short_12: AWBONH6SKDSI · pith_short_16: AWBONH6SKDSIYD35 · pith_short_8: AWBONH6S

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/AWBONH6SKDSIYD3557RH5IMNNA \
  | 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: 0582e69fd250e48c0f7defe27ea18d682448e27b91410c1d8c2c215cd9cc580d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1fbf2065817d35b0c4cab791e7606ee3296157d28dc7f0fbe2c15967caadf53",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-06-27T09:18:54Z",
    "title_canon_sha256": "2ae50bb18d1eb497ae623d2a063b27738752f925242df4a8a80278377830ef2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11833",
    "kind": "arxiv",
    "version": 1
  }
}