Pith Number

pith:BJL5CYZF

pith:2026:BJL5CYZFTZQM5JPR3XZDE5HCZ6

not attested not anchored not stored refs pending

The limit shape and emergence of the Discrete Gaussian level lines

Eyal Lubetzky, Joseph Chen

arxiv:2606.06612 v1 · 2026-06-04 · 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{BJL5CYZFTZQM5JPR3XZDE5HCZ6}

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.

Cited by

1 paper in Pith

The law of (1+1)D SOS with an area tilt in a wedge

Receipt and verification

First computed	2026-06-08T00:03:47.705645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a57d163259e60cea5f1ddf23274e2cfab9381360626fdc0a57c4674b717d3f7

Aliases

arxiv: 2606.06612 · arxiv_version: 2606.06612v1 · doi: 10.48550/arxiv.2606.06612 · pith_short_12: BJL5CYZFTZQM · pith_short_16: BJL5CYZFTZQM5JPR · pith_short_8: BJL5CYZF

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/BJL5CYZFTZQM5JPR3XZDE5HCZ6 \
  | 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: 0a57d163259e60cea5f1ddf23274e2cfab9381360626fdc0a57c4674b717d3f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb57dcdfecce6db5c1b935ca0099dc87aca7054eb778822f80c7b9ed1237e453",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-04T18:02:01Z",
    "title_canon_sha256": "9eb385cd425273d4c7e95475b65ce07b39edf9de95255bc4d50d6f285738ac71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06612",
    "kind": "arxiv",
    "version": 1
  }
}