Pith Number

pith:LUALH5QH

pith:2013:LUALH5QHCPMOAKRIYIKBQVCYFC

not attested not anchored not stored refs pending

Limit theory for the Gilbert graph

Christoph Thaele, Matthias Reitzner, Matthias Schulte

arxiv:1312.4861 v2 · 2013-12-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUALH5QHCPMOAKRIYIKBQVCYFC}

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	2026-05-18T00:31:24.136140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d00b3f60713d8e02a28c21418545828b37bb1ff9b4200ef40195f52ccd2a735

Aliases

arxiv: 1312.4861 · arxiv_version: 1312.4861v2 · doi: 10.48550/arxiv.1312.4861 · pith_short_12: LUALH5QHCPMO · pith_short_16: LUALH5QHCPMOAKRI · pith_short_8: LUALH5QH

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/LUALH5QHCPMOAKRIYIKBQVCYFC \
  | 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: 5d00b3f60713d8e02a28c21418545828b37bb1ff9b4200ef40195f52ccd2a735

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa2993b4a43692571c4bbd23303eb490dff87b8694c6313325e6670fa9409fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-17T16:59:59Z",
    "title_canon_sha256": "3512ebf7cbcba00782e15418d1ebcd82216959b81a731a100e4ae3a19e48b82c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4861",
    "kind": "arxiv",
    "version": 2
  }
}