Pith Number

pith:TCD4GVXE

pith:2011:TCD4GVXEXGHKPTG673GCPOAFNJ

not attested not anchored not stored refs pending

Two-Center Black Holes, Qubits and Elliptic Curves

P\'eter L\'evay

arxiv:1104.0144 v1 · 2011-04-01 · hep-th · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCD4GVXEXGHKPTG673GCPOAFNJ}

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	2026-05-18T04:15:47.819880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9887c356e4b98ea7ccdefecc27b8056a42a3f74a29c50c772133b7c9f14f19ec

Aliases

arxiv: 1104.0144 · arxiv_version: 1104.0144v1 · doi: 10.48550/arxiv.1104.0144 · pith_short_12: TCD4GVXEXGHK · pith_short_16: TCD4GVXEXGHKPTG6 · pith_short_8: TCD4GVXE

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/TCD4GVXEXGHKPTG673GCPOAFNJ \
  | 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: 9887c356e4b98ea7ccdefecc27b8056a42a3f74a29c50c772133b7c9f14f19ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e90dbf01edfd4fdfb4138e4316cde806a022fd800d37622de408fc5783c74e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-04-01T11:23:18Z",
    "title_canon_sha256": "1e34c90645e0b48ac619356fd82b65b4538e43cacad1ff008f37f58f3dd1a158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0144",
    "kind": "arxiv",
    "version": 1
  }
}