Pith Number

pith:EELV4OFG

pith:2025:EELV4OFGVT6DIYHWAWKZVMRXHA

not attested not anchored not stored refs pending

Transition from weak to strong coupling in thermal gauge theories: Lessons from ${\cal N}=4$ SYM Theory

Berndt M\"uller

arxiv:2507.06845 v2 · 2025-07-09 · hep-th · hep-ph · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EELV4OFGVT6DIYHWAWKZVMRXHA}

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	2026-07-05T11:40:35.374499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21175e38a6acfc3460f605959ab237381b05e78276f112a16028c8837c074a52

Aliases

arxiv: 2507.06845 · arxiv_version: 2507.06845v2 · doi: 10.48550/arxiv.2507.06845 · pith_short_12: EELV4OFGVT6D · pith_short_16: EELV4OFGVT6DIYHW · pith_short_8: EELV4OFG

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/EELV4OFGVT6DIYHWAWKZVMRXHA \
  | 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: 21175e38a6acfc3460f605959ab237381b05e78276f112a16028c8837c074a52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f9599353b35f90fbab1d8c0dbbc629ccda5504425c86dbbced679ceb8181fc9",
    "cross_cats_sorted": [
      "hep-ph",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-09T13:48:33Z",
    "title_canon_sha256": "eb3ab4720bc9ed36a3201e706327d6c625255b321d0bb0571749875855448bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.06845",
    "kind": "arxiv",
    "version": 2
  }
}