Pith Number

pith:XMV2TUG2

pith:2023:XMV2TUG2I2XJGFBDV4BHZLRZCY

not attested not anchored not stored refs pending

Edge Universality of Random Regular Graphs of Growing Degrees

Horng-Tzer Yau, Jiaoyang Huang

arxiv:2305.01428 v2 · 2023-05-02 · math.PR · 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{XMV2TUG2I2XJGFBDV4BHZLRZCY}

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.

Cited by

1 paper in Pith

Quantitative Edge Eigenvector Universality for Random Regular Graphs: Berry-Esseen Bounds with Explicit Constants

Receipt and verification

First computed	2026-07-05T06:19:03.701368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2ba9d0da46ae931423af027cae39161d2bbfeb12a8105be899cd67b1782a52

Aliases

arxiv: 2305.01428 · arxiv_version: 2305.01428v2 · doi: 10.48550/arxiv.2305.01428 · pith_short_12: XMV2TUG2I2XJ · pith_short_16: XMV2TUG2I2XJGFBD · pith_short_8: XMV2TUG2

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/XMV2TUG2I2XJGFBDV4BHZLRZCY \
  | 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: bb2ba9d0da46ae931423af027cae39161d2bbfeb12a8105be899cd67b1782a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef67636ce00dc18677250ccf4aab851accf97c4fdf8cafbc7db0385fb53d8e6e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-05-02T13:58:10Z",
    "title_canon_sha256": "0bd10733216ff016ee53d4e353832259b1ffd2d91632a4621f5822f19421a263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.01428",
    "kind": "arxiv",
    "version": 2
  }
}