Pith Number

pith:V3722RWV

pith:2025:V3722RWVGQEMWRHXE6HATBZW4D

not attested not anchored not stored refs pending

Mock modularity at work, or black holes in a forest

Sergei Alexandrov

arxiv:2505.02572 v2 · 2025-05-05 · hep-th · gr-qc · 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{V3722RWVGQEMWRHXE6HATBZW4D}

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	2026-07-05T11:35:13.472500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeffad46d53408cb44f7278e098736e0daff149621601140c3452efad8a7a0d0

Aliases

arxiv: 2505.02572 · arxiv_version: 2505.02572v2 · doi: 10.48550/arxiv.2505.02572 · pith_short_12: V3722RWVGQEM · pith_short_16: V3722RWVGQEMWRHX · pith_short_8: V3722RWV

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/V3722RWVGQEMWRHXE6HATBZW4D \
  | 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: aeffad46d53408cb44f7278e098736e0daff149621601140c3452efad8a7a0d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d9b46ff3deb240ea64d279cbf83a8e1719010c28d8fd65a2ba38236ee18b6ed",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.AG",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-05-05T11:22:03Z",
    "title_canon_sha256": "090227eab9422e82177d430240d6e8f265c81ba96bf0079e857654f07e58ddbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.02572",
    "kind": "arxiv",
    "version": 2
  }
}