Pith Number

pith:GZA7UD42

pith:2024:GZA7UD42JAOOKEE3DZIGXCGBSV

not attested not anchored not stored refs pending

Gravitational instantons and the quality problem of the QCD axion: Facts, speculations, and statements in between

Alfredo Urbano, Pier Giuseppe Catinari

arxiv:2410.12741 v2 · 2024-10-16 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZA7UD42JAOOKEE3DZIGXCGBSV}

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	2026-07-05T11:24:07.279885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3641fa0f9a481ce5109b1e506b88c19571b50cb0a28faeb156a6c103d6164044

Aliases

arxiv: 2410.12741 · arxiv_version: 2410.12741v2 · doi: 10.48550/arxiv.2410.12741 · pith_short_12: GZA7UD42JAOO · pith_short_16: GZA7UD42JAOOKEE3 · pith_short_8: GZA7UD42

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/GZA7UD42JAOOKEE3DZIGXCGBSV \
  | 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: 3641fa0f9a481ce5109b1e506b88c19571b50cb0a28faeb156a6c103d6164044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf1ab943a2fa4772839ceb227277c07df0296c0f9a66edc9e5b7b151436f3bcf",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-10-16T17:01:16Z",
    "title_canon_sha256": "ecdbf7612afe73211c9d40dabfa95354214e5cecc065f40b856624990db99cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.12741",
    "kind": "arxiv",
    "version": 2
  }
}