Pith Number

pith:OO3IPUP6

pith:2015:OO3IPUP6ZM45ESEXBPY5ZCFE6J

not attested not anchored not stored refs pending

Unbound motion of massive particles in the Schwarzschild metric: Analytical description in case of strong deflection

Oleg Yu. Tsupko

arxiv:1505.06481 v2 · 2015-05-24 · 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{OO3IPUP6ZM45ESEXBPY5ZCFE6J}

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	2026-05-18T02:03:32.081275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b687d1fecb39d248970bf1dc88a4f27ca1dde5e90ca1ae260acd8b74c8e848

Aliases

arxiv: 1505.06481 · arxiv_version: 1505.06481v2 · doi: 10.48550/arxiv.1505.06481 · pith_short_12: OO3IPUP6ZM45 · pith_short_16: OO3IPUP6ZM45ESEX · pith_short_8: OO3IPUP6

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/OO3IPUP6ZM45ESEXBPY5ZCFE6J \
  | 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: 73b687d1fecb39d248970bf1dc88a4f27ca1dde5e90ca1ae260acd8b74c8e848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce82bced0ef89728207bc681871ea9cf67be3617c7d9fafc0ce9577227ff5fe",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-05-24T21:07:41Z",
    "title_canon_sha256": "c10b11cf44709af97b1dcb0e09d55063f9e68b31995c4280a9f189036faf0f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06481",
    "kind": "arxiv",
    "version": 2
  }
}