Pith Number

pith:QPM4BA7L

pith:2011:QPM4BA7LGB6ME567E77CTDVZBA

not attested not anchored not stored refs pending

Application of Time Transfer Function to McVittie Spacetime: Gravitational Time Delay and Secular Increase in Astronomical Unit

Hideyoshi Arakida

arxiv:1103.2569 v1 · 2011-03-14 · gr-qc · astro-ph.CO · astro-ph.EP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPM4BA7LGB6ME567E77CTDVZBA}

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.

Cited by

1 paper in Pith

Gravitational lensing time delay beyond the Shapiro/geometry split

Receipt and verification

First computed	2026-05-18T04:03:07.083638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83d9c083eb307cc277df27fe298eb90830a31dd4653cc259b66b84b32c9efdbe

Aliases

arxiv: 1103.2569 · arxiv_version: 1103.2569v1 · doi: 10.48550/arxiv.1103.2569 · pith_short_12: QPM4BA7LGB6M · pith_short_16: QPM4BA7LGB6ME567 · pith_short_8: QPM4BA7L

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/QPM4BA7LGB6ME567E77CTDVZBA \
  | 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: 83d9c083eb307cc277df27fe298eb90830a31dd4653cc259b66b84b32c9efdbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c6b20cd76715aa76573659d64549cc984498d9ab2d4b11ccca9c57d2752c32",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.EP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-03-14T00:42:18Z",
    "title_canon_sha256": "37a4685fc3f2526e4cc866bc5f4187c87374d70e6317743dd41c7559e4aae7a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2569",
    "kind": "arxiv",
    "version": 1
  }
}