Pith Number

pith:RXWSXMLJ

pith:2013:RXWSXMLJFS5E4LERWSAIP3OICM

not attested not anchored not stored refs pending

On Sharp Thresholds in Random Geometric Graphs

Milan Bradonji\'c, Will Perkins

arxiv:1308.1084 v2 · 2013-08-05 · math.PR · cs.CC · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RXWSXMLJFS5E4LERWSAIP3OICM}

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	2026-05-18T02:43:36.891669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ded2bb1692cba4e2c91b48087edc813292449a4e9f016f804563647e37078c2

Aliases

arxiv: 1308.1084 · arxiv_version: 1308.1084v2 · doi: 10.48550/arxiv.1308.1084 · pith_short_12: RXWSXMLJFS5E · pith_short_16: RXWSXMLJFS5E4LER · pith_short_8: RXWSXMLJ

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/RXWSXMLJFS5E4LERWSAIP3OICM \
  | 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: 8ded2bb1692cba4e2c91b48087edc813292449a4e9f016f804563647e37078c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69436a37b500fe7f6dff3a9e8b5c12c0af3864f8ab3ea24893932ad6787679c",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-05T19:54:54Z",
    "title_canon_sha256": "d2496ee5b0f50454b816e01fc2728ce824349c2bcfcaa6f9c9a5035c7ce18295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1084",
    "kind": "arxiv",
    "version": 2
  }
}