Pith Number

pith:VWMXJJEF

pith:2026:VWMXJJEFKPE6QHUNN5ZILTHZEZ

not attested not anchored not stored refs pending

Consistent Thermal Resummation and Phase Transitions with 2PI Methods

Amitayus Banik, Kimmo Kainulainen

arxiv:2608.04102 v1 · 2026-08-04 · hep-ph · astro-ph.CO · hep-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{VWMXJJEFKPE6QHUNN5ZILTHZEZ}

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	2026-08-06T01:30:01.295569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad9974a48553c9e81e8d6f7285ccf9265f6f747bc77e310a0a960e69175b7191

Aliases

arxiv: 2608.04102 · arxiv_version: 2608.04102v1 · doi: 10.48550/arxiv.2608.04102 · pith_short_12: VWMXJJEFKPE6 · pith_short_16: VWMXJJEFKPE6QHUN · pith_short_8: VWMXJJEF

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/VWMXJJEFKPE6QHUNN5ZILTHZEZ \
  | 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: ad9974a48553c9e81e8d6f7285ccf9265f6f747bc77e310a0a960e69175b7191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcd8023cdae09c093015ada0ba9535c4907b5abb5750ab292b215515248b7c75",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-08-04T18:00:55Z",
    "title_canon_sha256": "58579d86595f7ed4016cff897f6280f483e46a3db909eca04e5638c6fdb2822d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04102",
    "kind": "arxiv",
    "version": 1
  }
}