Pith Number

pith:IUR3ZN3D

pith:2015:IUR3ZN3DO7XZOL4VRI2Q3ERMKA

not attested not anchored not stored refs pending

Analytical solutions for geodesics in black hole spacetimes

Claus L\"ammerzahl, Eva Hackmann

arxiv:1506.01572 v1 · 2015-06-04 · 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{IUR3ZN3DO7XZOL4VRI2Q3ERMKA}

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	2026-05-18T01:57:18.515072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4523bcb76377ef972f958a350d922c501ae58642947729dbb571ce8b38ad5ee1

Aliases

arxiv: 1506.01572 · arxiv_version: 1506.01572v1 · doi: 10.48550/arxiv.1506.01572 · pith_short_12: IUR3ZN3DO7XZ · pith_short_16: IUR3ZN3DO7XZOL4V · pith_short_8: IUR3ZN3D

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/IUR3ZN3DO7XZOL4VRI2Q3ERMKA \
  | 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: 4523bcb76377ef972f958a350d922c501ae58642947729dbb571ce8b38ad5ee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d803f5a6aa9bf60ffa5256de1345b908f20ebc8e1a3f8721e0a80383ef59d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-06-04T13:05:53Z",
    "title_canon_sha256": "00937f4219d4ded47fff02e3a8ec151ec6347c277ccfdd8ec821f28db8b6656b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01572",
    "kind": "arxiv",
    "version": 1
  }
}