Pith Number

pith:XQLEH525

pith:2003:XQLEH525MWZOCWU3CJ5LY6U5MX

not attested not anchored not stored refs pending

Einstein metrics: Homogeneous solvmanifolds, generalised Heisenberg groups and Black Holes

Sigbjorn Hervik

arxiv:hep-th/0311108 v1 · 2003-11-13 · hep-th · gr-qc · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQLEH525MWZOCWU3CJ5LY6U5MX}

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.

Cited by

1 paper in Pith

Primary scalar hair in Gauss-Bonnet black holes with Thurston horizons

Receipt and verification

First computed	2026-07-04T15:23:16.309224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1643f75d65b2e15a9b127abc7a9d65deaf09a19a1513547e1b1c5ebe33ea1d

Aliases

arxiv: hep-th/0311108 · arxiv_version: hep-th/0311108v1 · doi: 10.48550/arxiv.hep-th/0311108 · pith_short_12: XQLEH525MWZO · pith_short_16: XQLEH525MWZOCWU3 · pith_short_8: XQLEH525

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/XQLEH525MWZOCWU3CJ5LY6U5MX \
  | 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: bc1643f75d65b2e15a9b127abc7a9d65deaf09a19a1513547e1b1c5ebe33ea1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc95890c1113ea91fdfc9976960f09bb91fbd921b0e1ebd2ca438434b13237b3",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-11-13T14:21:38Z",
    "title_canon_sha256": "aaf6975f5e0a93c68120486f2f7e6b75f387fcafa514182d8bcb45332b2d3610"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0311108",
    "kind": "arxiv",
    "version": 1
  }
}