Pith Number

pith:GP3REHON

pith:2026:GP3REHONJ7G3HN7IA62HRK4ZGF

not attested not anchored not stored refs pending

High Flux Asymptotics and Critical Phenomena for the Magnetic Laplacian

Ayman Kachmar, Emanuela L. Giacomelli, Mikael Sundqvist

arxiv:2605.30793 v1 · 2026-05-29 · math.SP · math-ph · math.AP · 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{GP3REHONJ7G3HN7IA62HRK4ZGF}

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	2026-06-01T01:03:17.086977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33f7121dcd4fcdb3b7e807b478ab9931437fdfdc8eb76f6e546cb64a616c9e6d

Aliases

arxiv: 2605.30793 · arxiv_version: 2605.30793v1 · doi: 10.48550/arxiv.2605.30793 · pith_short_12: GP3REHONJ7G3 · pith_short_16: GP3REHONJ7G3HN7I · pith_short_8: GP3REHON

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/GP3REHONJ7G3HN7IA62HRK4ZGF \
  | 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: 33f7121dcd4fcdb3b7e807b478ab9931437fdfdc8eb76f6e546cb64a616c9e6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f88871af26d795772b7fc6d2f7ed999885d91d91ca8c9ba67a3723a1f0cbf341",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-05-29T03:31:56Z",
    "title_canon_sha256": "c3c440f75d6a19dbced8d3a1510cbb29fa2e52f2042fda731b941c208e5ce848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30793",
    "kind": "arxiv",
    "version": 1
  }
}