Pith Number

pith:HTAL2OOU

pith:2026:HTAL2OOUB4WPX5FMJY5D4B3WXD

not attested not anchored not stored refs pending

Distinguishability threshold for random geometric graphs

Aleksa Milojevi\'c, Benny Sudakov, Zach Hunter

arxiv:2607.22480 v1 · 2026-07-24 · math.PR · 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{HTAL2OOUB4WPX5FMJY5D4B3WXD}

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	2026-07-27T01:21:23.300311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cc0bd39d40f2cfbf4ac4e3a3e0776b8c45bfed02e713d3df43828ca77a69196

Aliases

arxiv: 2607.22480 · arxiv_version: 2607.22480v1 · doi: 10.48550/arxiv.2607.22480 · pith_short_12: HTAL2OOUB4WP · pith_short_16: HTAL2OOUB4WPX5FM · pith_short_8: HTAL2OOU

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/HTAL2OOUB4WPX5FMJY5D4B3WXD \
  | 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: 3cc0bd39d40f2cfbf4ac4e3a3e0776b8c45bfed02e713d3df43828ca77a69196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f05ec0eeb1605b88e5e5e130f73118dd9294ce45011a62bcde4f1d3ea05f05d",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-24T16:49:51Z",
    "title_canon_sha256": "27e020387afe962ef206aa816d537fbd3f3542fe964023e3a75fe92069e0b973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22480",
    "kind": "arxiv",
    "version": 1
  }
}