Pith Number

pith:HO4OAQTR

pith:2015:HO4OAQTRHM2K4DHZEHB5Y4XKXC

not attested not anchored not stored refs pending

Connectivity and giant component in random distance graphs

Briana Oshiro, Joshua Flynn, Mary Radcliffe

arxiv:1509.03568 v1 · 2015-09-11 · math.CO · 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{HO4OAQTRHM2K4DHZEHB5Y4XKXC}

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	2026-05-18T01:33:17.483103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bb8e042713b34ae0cf921c3dc72eab8b350c45e73e8a3e3fe8ddf4d9d9c198e

Aliases

arxiv: 1509.03568 · arxiv_version: 1509.03568v1 · doi: 10.48550/arxiv.1509.03568 · pith_short_12: HO4OAQTRHM2K · pith_short_16: HO4OAQTRHM2K4DHZ · pith_short_8: HO4OAQTR

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/HO4OAQTRHM2K4DHZEHB5Y4XKXC \
  | 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: 3bb8e042713b34ae0cf921c3dc72eab8b350c45e73e8a3e3fe8ddf4d9d9c198e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85e40c4a07e1af5e41acb1cfe9894b7cfb13254e5b9525943aef58f701b0626a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-11T15:50:11Z",
    "title_canon_sha256": "458d839420d8bdf15c74cdc0ead34c1c1cc455f685d874ca9e758c4a2e635764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03568",
    "kind": "arxiv",
    "version": 1
  }
}