Pith Number

pith:W6TWOTVC

pith:2014:W6TWOTVCFJ4NJHGUAEHUAKVPME

not attested not anchored not stored refs pending

Particle and photon orbits in McVittie spacetimes

Brien C. Nolan

arxiv:1408.0044 v1 · 2014-07-31 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W6TWOTVCFJ4NJHGUAEHUAKVPME}

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	2026-05-18T01:42:26.494712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7a7674ea22a78d49cd4010f402aaf6113c7e357498c2fc50e3420a5f3410e9f

Aliases

arxiv: 1408.0044 · arxiv_version: 1408.0044v1 · doi: 10.48550/arxiv.1408.0044 · pith_short_12: W6TWOTVCFJ4N · pith_short_16: W6TWOTVCFJ4NJHGU · pith_short_8: W6TWOTVC

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/W6TWOTVCFJ4NJHGUAEHUAKVPME \
  | 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: b7a7674ea22a78d49cd4010f402aaf6113c7e357498c2fc50e3420a5f3410e9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05690a51dd0e549e3255906e9e99a80334105f06b7f0097f030cb0e678b8999b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2014-07-31T23:33:28Z",
    "title_canon_sha256": "921a67ea3a6e8d7ed657abf8a53aee8161c3738c5ec47d11de7a8d5b52db0d56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0044",
    "kind": "arxiv",
    "version": 1
  }
}