Pith Number

pith:5JKBZJPO

pith:2026:5JKBZJPOFISCXUZVLLT6ZRNTIQ

not attested not anchored not stored refs pending

Flowing to Normality and the Fate of the Single Ring Theorem

Anthony Zee, Joshua Feinberg, Richard Scalettar, Roman Riser

arxiv:2606.15791 v2 · 2026-06-14 · math-ph · cond-mat.dis-nn · hep-th · math.MP · math.PR · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JKBZJPOFISCXUZVLLT6ZRNTIQ}

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	2026-06-23T01:12:09.896511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea541ca5ee2a242bd3355ae7ecc5b3441bf6f69f8b7d4a75f12a16e39562df5d

Aliases

arxiv: 2606.15791 · arxiv_version: 2606.15791v2 · doi: 10.48550/arxiv.2606.15791 · pith_short_12: 5JKBZJPOFISC · pith_short_16: 5JKBZJPOFISCXUZV · pith_short_8: 5JKBZJPO

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/5JKBZJPOFISCXUZVLLT6ZRNTIQ \
  | 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: ea541ca5ee2a242bd3355ae7ecc5b3441bf6f69f8b7d4a75f12a16e39562df5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f67f9b3d36a124f0886ac66db289f8c1b04d3109bded62d268845b51e55943f",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "hep-th",
      "math.MP",
      "math.PR",
      "nlin.CD"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-14T12:45:32Z",
    "title_canon_sha256": "426e20fb7da9fa1c6b4bc8cc61f99eaa7b31de310d047c317e8c844a0ac80b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.15791",
    "kind": "arxiv",
    "version": 2
  }
}