Pith Number

pith:5VJOS6VV

pith:2016:5VJOS6VVM3EUVQDLKIJIA25WYX

not attested not anchored not stored refs pending

Local law and mesoscopic fluctuations of Dyson Brownian motion for general $\beta$ and potential

Benjamin Landon, Jiaoyang Huang

arxiv:1612.06306 v2 · 2016-12-19 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VJOS6VVM3EUVQDLKIJIA25WYX}

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	2026-05-18T00:44:15.704446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed52e97ab566c94ac06b5212806bb6c5ea7a73fb13615b31df63da8d8b428371

Aliases

arxiv: 1612.06306 · arxiv_version: 1612.06306v2 · doi: 10.48550/arxiv.1612.06306 · pith_short_12: 5VJOS6VVM3EU · pith_short_16: 5VJOS6VVM3EUVQDL · pith_short_8: 5VJOS6VV

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/5VJOS6VVM3EUVQDLKIJIA25WYX \
  | 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: ed52e97ab566c94ac06b5212806bb6c5ea7a73fb13615b31df63da8d8b428371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a715444d98c476e44b5a82f30bcea3f3b404c7c4f9188b634b3f3da247939ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-19T18:44:34Z",
    "title_canon_sha256": "2e2811dbed6b818c390f86a843e828566ba3da05515096d1c25d12d873c4fe64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06306",
    "kind": "arxiv",
    "version": 2
  }
}