Pith Number

pith:YAS5G7JB

pith:2018:YAS5G7JBRCWORVAYVN7FOY6GU6

not attested not anchored not stored refs pending

Black holes and higher depth mock modular forms

Boris Pioline, Sergei Alexandrov

arxiv:1808.08479 v3 · 2018-08-25 · hep-th · math-ph · math.AG · math.MP · 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{YAS5G7JBRCWORVAYVN7FOY6GU6}

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

3 papers in Pith

Large Order Enumerative Geometry, Black Holes and Black Rings

Black Hole Quantum Mechanics and Generalized Error Functions

Receipt and verification

First computed	2026-07-05T11:35:08.579510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c025d37d2188ace8d418ab7e5763c6a795404658d2c29eea323f3d1467cc3c34

Aliases

arxiv: 1808.08479 · arxiv_version: 1808.08479v3 · doi: 10.48550/arxiv.1808.08479 · pith_short_12: YAS5G7JBRCWO · pith_short_16: YAS5G7JBRCWORVAY · pith_short_8: YAS5G7JB

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/YAS5G7JBRCWORVAYVN7FOY6GU6 \
  | 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: c025d37d2188ace8d418ab7e5763c6a795404658d2c29eea323f3d1467cc3c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd25324bf729acd0ada198ac76ac3f9ba5c4c24deea6a8426e1d18b07541d057",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-08-25T22:43:11Z",
    "title_canon_sha256": "af86e15daed6fb07d4d6320dc23b380218e8a2c59845699933c1aee0f0c802b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08479",
    "kind": "arxiv",
    "version": 3
  }
}