Pith Number

pith:LTXQRRHI

pith:2015:LTXQRRHIEBHHBBKILDUOUEY72H

not attested not anchored not stored refs pending

On asymptotic bounds for the number of irreducible components of the moduli space of surfaces of general type II

Matteo Penegini, Michael L\"onne

arxiv:1507.05779 v1 · 2015-07-21 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LTXQRRHIEBHHBBKILDUOUEY72H}

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	2026-05-18T01:36:32.474544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cef08c4e8204e70854858e8ea131fd1f0ceb7af9f41be39b60e616143b556ce

Aliases

arxiv: 1507.05779 · arxiv_version: 1507.05779v1 · doi: 10.48550/arxiv.1507.05779 · pith_short_12: LTXQRRHIEBHH · pith_short_16: LTXQRRHIEBHHBBKI · pith_short_8: LTXQRRHI

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/LTXQRRHIEBHHBBKILDUOUEY72H \
  | 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: 5cef08c4e8204e70854858e8ea131fd1f0ceb7af9f41be39b60e616143b556ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b17870e3d3137fd6efee739a4fa911eac7572fcd91f314aaef89ae4ac2750e28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-21T10:44:27Z",
    "title_canon_sha256": "ac714614e11a081ef08f2eb9ff6553ebf2e0ba7f2c1939eed48a261834bf6b81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05779",
    "kind": "arxiv",
    "version": 1
  }
}