Pith Number

pith:GIZD4Q4X

pith:2015:GIZD4Q4XMBHH4H36EWYEHYSCQJ

not attested not anchored not stored refs pending

Null conformal Killing-Yano tensors and Birkhoff theorem

Joan Josep Ferrando, Juan Antonio S\'aez

arxiv:1512.07057 v1 · 2015-12-22 · 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{GIZD4Q4XMBHH4H36EWYEHYSCQJ}

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	2026-05-18T00:52:34.430139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32323e4397604e7e1f7e25b043e2428259cab199206920905faab5e8225488c3

Aliases

arxiv: 1512.07057 · arxiv_version: 1512.07057v1 · doi: 10.48550/arxiv.1512.07057 · pith_short_12: GIZD4Q4XMBHH · pith_short_16: GIZD4Q4XMBHH4H36 · pith_short_8: GIZD4Q4X

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/GIZD4Q4XMBHH4H36EWYEHYSCQJ \
  | 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: 32323e4397604e7e1f7e25b043e2428259cab199206920905faab5e8225488c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9626ca67aa155ed2e7d4243427880c923ede754989d5173c093b98f70b9d9cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-22T12:37:18Z",
    "title_canon_sha256": "ff0754a75f9e37a3d0d94d875e48d2eca01f80816581260c9b5b68cbf3cb5ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07057",
    "kind": "arxiv",
    "version": 1
  }
}