Pith Number

pith:VMWZQM7U

pith:2018:VMWZQM7U6KBY3NC2OSYXK26E2R

not attested not anchored not stored refs pending

Exact Half-BPS Black Hole Entropies in CHL Models from Rademacher Series

Richard Nally

arxiv:1803.10775 v2 · 2018-03-28 · hep-th · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMWZQM7U6KBY3NC2OSYXK26E2R}

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	2026-05-17T23:55:14.879072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab2d9833f4f2838db45a74b1756bc4d44547fa12dd9d01ef400731bbffbebe9f

Aliases

arxiv: 1803.10775 · arxiv_version: 1803.10775v2 · doi: 10.48550/arxiv.1803.10775 · pith_short_12: VMWZQM7U6KBY · pith_short_16: VMWZQM7U6KBY3NC2 · pith_short_8: VMWZQM7U

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/VMWZQM7U6KBY3NC2OSYXK26E2R \
  | 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: ab2d9833f4f2838db45a74b1756bc4d44547fa12dd9d01ef400731bbffbebe9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb7323e98fac8be0283082c5ce9d6814fafa1356ee3c177b7748949158876d8b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-03-28T18:00:01Z",
    "title_canon_sha256": "44855ea15ca15c7c5e2ddddc41c7de6bff120fed38bde6f30d104a6e4010a2be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10775",
    "kind": "arxiv",
    "version": 2
  }
}