Pith Number

pith:PKQAMLD7

pith:2023:PKQAMLD7TKLKYNS3XQ3T3G4GHH

not attested not anchored not stored refs pending

Duality and Triality Families of Analytic Black Hole Solutions

Zhaojie Xu

arxiv:2312.04177 v2 · 2023-12-07 · 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{PKQAMLD7TKLKYNS3XQ3T3G4GHH}

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	2026-07-05T07:23:10.179953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aa0062c7f9a96ac365bbc373d9b8639c331ef174058f0b0955f6a388671bdec

Aliases

arxiv: 2312.04177 · arxiv_version: 2312.04177v2 · doi: 10.48550/arxiv.2312.04177 · pith_short_12: PKQAMLD7TKLK · pith_short_16: PKQAMLD7TKLKYNS3 · pith_short_8: PKQAMLD7

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/PKQAMLD7TKLKYNS3XQ3T3G4GHH \
  | 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: 7aa0062c7f9a96ac365bbc373d9b8639c331ef174058f0b0955f6a388671bdec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09c4969363e9623bce596ccb1a73c16f5b77721f2658be132b38889853d68b9e",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-12-07T09:54:36Z",
    "title_canon_sha256": "1c25fd3d721c23584500585d9e18f70256e2dc84883f4ebda1d046c88b42ffd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.04177",
    "kind": "arxiv",
    "version": 2
  }
}