Pith Number

pith:5ZXIJV6F

pith:2015:5ZXIJV6F7OZ357WGX2OPDG465F

not attested not anchored not stored refs pending

Birkhoff theorem and conformal Killing-Yano tensors

Joan Josep Ferrando, Juan Antonio S\'aez

arxiv:1505.03317 v1 · 2015-05-13 · 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{5ZXIJV6F7OZ357WGX2OPDG465F}

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	2026-05-18T01:41:45.953576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee6e84d7c5fbb3befec6be9cf19b9ee974a695666cb70a37abb76ee819644a90

Aliases

arxiv: 1505.03317 · arxiv_version: 1505.03317v1 · doi: 10.48550/arxiv.1505.03317 · pith_short_12: 5ZXIJV6F7OZ3 · pith_short_16: 5ZXIJV6F7OZ357WG · pith_short_8: 5ZXIJV6F

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/5ZXIJV6F7OZ357WGX2OPDG465F \
  | 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: ee6e84d7c5fbb3befec6be9cf19b9ee974a695666cb70a37abb76ee819644a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe0c82e14dd32059ca05e926af8acde91d7096f947722aea09108901bb77c875",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-05-13T10:37:42Z",
    "title_canon_sha256": "3a5e82fbe9e0a2ae709a97c44946c4f53b274e28a913d4d70fa84e018f2345e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03317",
    "kind": "arxiv",
    "version": 1
  }
}