Pith Number

pith:JVD7NCK4

pith:2026:JVD7NCK46TSYKTZAFDSXSOFGVE

not attested not anchored not stored refs pending

Spectral expansion of LQG heat trace and KPZ scaling

Jakob Klein, Nathana\"el Berestycki

arxiv:2606.26958 v1 · 2026-06-25 · math.PR · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JVD7NCK46TSYKTZAFDSXSOFGVE}

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	2026-06-26T01:16:05.113590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d47f6895cf4e5854f2028e57938a6a91b6c0d06eb277d7139477a05527efc81

Aliases

arxiv: 2606.26958 · arxiv_version: 2606.26958v1 · doi: 10.48550/arxiv.2606.26958 · pith_short_12: JVD7NCK46TSY · pith_short_16: JVD7NCK46TSYKTZA · pith_short_8: JVD7NCK4

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/JVD7NCK46TSYKTZAFDSXSOFGVE \
  | 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: 4d47f6895cf4e5854f2028e57938a6a91b6c0d06eb277d7139477a05527efc81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3ece4dc1df3de235f590f713c790e4cf661affeb4316e4b7f002924f5a8e9f7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-25T12:32:40Z",
    "title_canon_sha256": "0ec97a6252986f9a126aa18951da42ebdc0231981d06c9df2d916e6eec1a4568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26958",
    "kind": "arxiv",
    "version": 1
  }
}