Pith Number

pith:M5YQMTOF

pith:2016:M5YQMTOFO4QME4NNMOBOY5WDTX

not attested not anchored not stored refs pending

Local single ring theorem on optimal scale

Kevin Schnelli, L\'aszl\'o Erd\H{o}s, Zhigang Bao

arxiv:1612.05920 v2 · 2016-12-18 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5YQMTOFO4QME4NNMOBOY5WDTX}

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	2026-05-17T23:52:24.752023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6771064dc57720c271ad6382ec76c39dc206ae17fa5e33fe351a510634844641

Aliases

arxiv: 1612.05920 · arxiv_version: 1612.05920v2 · doi: 10.48550/arxiv.1612.05920 · pith_short_12: M5YQMTOFO4QM · pith_short_16: M5YQMTOFO4QME4NN · pith_short_8: M5YQMTOF

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/M5YQMTOFO4QME4NNMOBOY5WDTX \
  | 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: 6771064dc57720c271ad6382ec76c39dc206ae17fa5e33fe351a510634844641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7150e8975c3675a9fdea6d62605940de35394723815e7b433f415281faac3b59",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-18T14:37:10Z",
    "title_canon_sha256": "ba06374f9c5da50e7b402c91c9c3cd4253b7f517d2bed01083d2e1e7afdb8e00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05920",
    "kind": "arxiv",
    "version": 2
  }
}