Pith Number

pith:PCRWI5TK

pith:2017:PCRWI5TKA4IMVPAUSADJZXE6RD

not attested not anchored not stored refs pending

The Phase Transition in the Ultrametric Ensemble and Local Stability of Dyson Brownian Motion

Per von Soosten, Simone Warzel

arxiv:1705.00923 v5 · 2017-05-02 · math.PR · cond-mat.dis-nn · 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{PCRWI5TKA4IMVPAUSADJZXE6RD}

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	2026-05-18T00:09:47.879363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a364766a0710cabc1490069cdc9e88fa4831eb20db223b104d2849372b1481

Aliases

arxiv: 1705.00923 · arxiv_version: 1705.00923v5 · doi: 10.48550/arxiv.1705.00923 · pith_short_12: PCRWI5TKA4IM · pith_short_16: PCRWI5TKA4IMVPAU · pith_short_8: PCRWI5TK

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/PCRWI5TKA4IMVPAUSADJZXE6RD \
  | 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: 78a364766a0710cabc1490069cdc9e88fa4831eb20db223b104d2849372b1481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfb3f04f780971015cac5f820a0d8517e62766e45997073541fd57dc3a335cdf",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-02T11:44:43Z",
    "title_canon_sha256": "dae38f5efad0ba0c56665dc1ad60dc5cbc4feb85ba0e5f2e190777ecd97bcd39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00923",
    "kind": "arxiv",
    "version": 5
  }
}