Pith Number

pith:4NKDTV2X

pith:2016:4NKDTV2XXXS3KOCK2NLTXXXFZT

not attested not anchored not stored refs pending

Fixed energy universality for Dyson Brownian motion

Benjamin Landon, Horng-Tzer Yau, Philippe Sosoe

arxiv:1609.09011 v3 · 2016-09-28 · 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{4NKDTV2XXXS3KOCK2NLTXXXFZT}

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	2026-05-17T23:56:30.418235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e35439d757bde5b5384ad3573bdee5ccebfa1b74ce80fbe5bacb69d4ea88b188

Aliases

arxiv: 1609.09011 · arxiv_version: 1609.09011v3 · doi: 10.48550/arxiv.1609.09011 · pith_short_12: 4NKDTV2XXXS3 · pith_short_16: 4NKDTV2XXXS3KOCK · pith_short_8: 4NKDTV2X

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/4NKDTV2XXXS3KOCK2NLTXXXFZT \
  | 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: e35439d757bde5b5384ad3573bdee5ccebfa1b74ce80fbe5bacb69d4ea88b188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c053fcde77d78118f817c00a28b52b8d52c53bbc37f64a78d9a7e6f8b3fd08",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-28T17:24:26Z",
    "title_canon_sha256": "82125e34e9cc3ba54ad755c27b30ced719ad82e2a8ae9bd313ac786b9e93d83d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09011",
    "kind": "arxiv",
    "version": 3
  }
}