Pith Number

pith:AM4XDL7T

pith:2026:AM4XDL7TVSUQDCL5H6N633H6TY

not attested not anchored not stored refs pending

A simple proof of rapid mixing on random regular graphs beyond uniqueness

Andreas G\"obel, Leon Schiller, Marcus Michelen, Marcus Pappik, Matthew Jenssen, Will Perkins

arxiv:2606.27545 v1 · 2026-06-25 · math.PR · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AM4XDL7TVSUQDCL5H6N633H6TY}

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	2026-06-29T00:14:09.629295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

033971aff3aca901897d3f9bedecfe9e174d87f30f7f6534b4a4ce2efa1f00c4

Aliases

arxiv: 2606.27545 · arxiv_version: 2606.27545v1 · doi: 10.48550/arxiv.2606.27545 · pith_short_12: AM4XDL7TVSUQ · pith_short_16: AM4XDL7TVSUQDCL5 · pith_short_8: AM4XDL7T

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/AM4XDL7TVSUQDCL5H6N633H6TY \
  | 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: 033971aff3aca901897d3f9bedecfe9e174d87f30f7f6534b4a4ce2efa1f00c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d45b581c5ab2fb54ec4b83ac72bd4960d70494eea9d11dad5f8afbe1bcdf282",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-25T20:48:28Z",
    "title_canon_sha256": "374c751083172665f2c3e3aa66a105db27af28484742b8a75a24a867cf2a37d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27545",
    "kind": "arxiv",
    "version": 1
  }
}