Pith Number

pith:FJPLNWR2

pith:2026:FJPLNWR26XIFQFDEHRFRC75GVD

not attested not anchored not stored refs pending

Scaling limits of the single-curve interface and outermost loops in the planar random field Ising model

Aoteng Xia, Fenglin Huang, L\'eonie Papon

arxiv:2606.13147 v1 · 2026-06-11 · 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{FJPLNWR26XIFQFDEHRFRC75GVD}

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	2026-06-12T01:09:43.040674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a5eb6da3af5d05814643c4b117fa6a8ca02c4b4ecc9b8b2c5f1cb5782f24f7a

Aliases

arxiv: 2606.13147 · arxiv_version: 2606.13147v1 · doi: 10.48550/arxiv.2606.13147 · pith_short_12: FJPLNWR26XIF · pith_short_16: FJPLNWR26XIFQFDE · pith_short_8: FJPLNWR2

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/FJPLNWR26XIFQFDEHRFRC75GVD \
  | 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: 2a5eb6da3af5d05814643c4b117fa6a8ca02c4b4ecc9b8b2c5f1cb5782f24f7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c876eb17936407f3773ebc12a70a893c6174cad1eb3459fb7fc25d96042c8c2d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-11T10:21:08Z",
    "title_canon_sha256": "82aa6eba24be2b5ca8e55d65c1259422129ca4b61bb229987ca85c8e51865884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13147",
    "kind": "arxiv",
    "version": 1
  }
}