Pith Number

pith:ZF76Q4TO

pith:2010:ZF76Q4TONF4WVDVPKY3JGADLDG

not attested not anchored not stored refs pending

Charged Balanced Black Rings in Five Dimensions

Burkhard Kleihaus, Jutta Kunz, Kirsten Schn\"ulle

arxiv:1012.5044 v1 · 2010-12-22 · hep-th · 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{ZF76Q4TONF4WVDVPKY3JGADLDG}

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	2026-05-18T02:04:18.480061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c97fe8726e69796a8eaf563693006b1986395a8f48a18931c11fcbd6ffac00e6

Aliases

arxiv: 1012.5044 · arxiv_version: 1012.5044v1 · doi: 10.48550/arxiv.1012.5044 · pith_short_12: ZF76Q4TONF4W · pith_short_16: ZF76Q4TONF4WVDVP · pith_short_8: ZF76Q4TO

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/ZF76Q4TONF4WVDVPKY3JGADLDG \
  | 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: c97fe8726e69796a8eaf563693006b1986395a8f48a18931c11fcbd6ffac00e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7566c732261e2024ac5119cf91fbf1a741c78ed697ded091169f10e029214061",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-22T17:22:20Z",
    "title_canon_sha256": "580079b790a6356a749052e1e39b5aabf41d8254d11962b64760eb3acea15297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5044",
    "kind": "arxiv",
    "version": 1
  }
}