Pith Number

pith:SN7HKSTB

pith:2012:SN7HKSTBQF4BU5RNNGGLO2QHNA

not attested not anchored not stored refs pending

Quantum Black Holes, Wall Crossing, and Mock Modular Forms

Atish Dabholkar, Don Zagier, Sameer Murthy

arxiv:1208.4074 v2 · 2012-08-20 · 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{SN7HKSTBQF4BU5RNNGGLO2QHNA}

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

Black Hole Quantum Mechanics and Generalized Error Functions

$c_{\rm eff}$ from Resurgence at the Stokes Line

On Uniqueness of Mock Theta Functions

Receipt and verification

First computed	2026-05-18T02:54:56.490961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

937e754a6181781a762d698cb76a076827835a2885d82b184c94ef55bdb2a0ca

Aliases

arxiv: 1208.4074 · arxiv_version: 1208.4074v2 · doi: 10.48550/arxiv.1208.4074 · pith_short_12: SN7HKSTBQF4B · pith_short_16: SN7HKSTBQF4BU5RN · pith_short_8: SN7HKSTB

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/SN7HKSTBQF4BU5RNNGGLO2QHNA \
  | 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: 937e754a6181781a762d698cb76a076827835a2885d82b184c94ef55bdb2a0ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf5fa60783be2de526c35e47aa57d7d7a59ec09998b932678cfbbfaa12c4193",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-08-20T18:07:19Z",
    "title_canon_sha256": "206755d86c4fd79fd936482d95a1022fc2c8890360f3daef5741e2eea9582b29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4074",
    "kind": "arxiv",
    "version": 2
  }
}