Pith Number

pith:GN4RK74M

pith:2015:GN4RK74MPQZTC7H3LOTEQMRPIS

not attested not anchored not stored refs pending

Lebesgue density and exceptional points

Alessandro Andretta, Camillo Costantini, Riccardo Camerlo

arxiv:1510.04193 v1 · 2015-10-14 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GN4RK74MPQZTC7H3LOTEQMRPIS}

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	2026-05-18T00:08:11.578978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3379157f8c7c33317cfb5ba648322f44aab38bc3c80e6ad92d8a4c34492ea75e

Aliases

arxiv: 1510.04193 · arxiv_version: 1510.04193v1 · doi: 10.48550/arxiv.1510.04193 · pith_short_12: GN4RK74MPQZT · pith_short_16: GN4RK74MPQZTC7H3 · pith_short_8: GN4RK74M

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/GN4RK74MPQZTC7H3LOTEQMRPIS \
  | 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: 3379157f8c7c33317cfb5ba648322f44aab38bc3c80e6ad92d8a4c34492ea75e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62eb0935eba738faea07785ce63365558452ef4ef273ce03609f39a4481a0da5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-14T16:34:18Z",
    "title_canon_sha256": "624836df869366fe612044cce9563188cf49611c515e2603999a3c2634ea5ea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04193",
    "kind": "arxiv",
    "version": 1
  }
}