Pith Number

pith:PTBL3ORJ

pith:2015:PTBL3ORJ3YQJ6KGOYOXZBZEAWH

not attested not anchored not stored refs pending

On the vacuum Einstein equations along curves with a discrete local rotational and reflection symmetry

Eloisa Bentivegna, Ian Hinder, Miko{\l}aj Korzy\'nski

arxiv:1505.05760 v1 · 2015-05-21 · 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{PTBL3ORJ3YQJ6KGOYOXZBZEAWH}

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	2026-05-18T01:31:21.207141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc2bdba29de209f28cec3af90e480b1dda3bc4e765b60d54d33a0a5b6313d56

Aliases

arxiv: 1505.05760 · arxiv_version: 1505.05760v1 · doi: 10.48550/arxiv.1505.05760 · pith_short_12: PTBL3ORJ3YQJ · pith_short_16: PTBL3ORJ3YQJ6KGO · pith_short_8: PTBL3ORJ

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/PTBL3ORJ3YQJ6KGOYOXZBZEAWH \
  | 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: 7cc2bdba29de209f28cec3af90e480b1dda3bc4e765b60d54d33a0a5b6313d56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e56edf1509ce27f2da578131211c4b7e0e700cd5faab689bfa114c5b9accd36e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-05-21T14:58:04Z",
    "title_canon_sha256": "280896de5b70030d081ac17b07857936d07541d782f66db5ca5fc230bf5f1d45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05760",
    "kind": "arxiv",
    "version": 1
  }
}