Pith Number

pith:TN23GMZC

pith:2007:TN23GMZCQDWJ6KFHJ7ITRKC7RV

not attested not anchored not stored refs pending

Four-loop pressure of massless O(N) scalar field theory

A. Gynther, A. Vuorinen, C. Torrero, M. Laine, Y. Schroder

arxiv:hep-ph/0703307 v1 · 2007-03-29 · hep-ph · 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{TN23GMZCQDWJ6KFHJ7ITRKC7RV}

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

SIRENA -- Sum-Integral REductioN Algorithm

Receipt and verification

First computed	2026-05-18T04:38:38.145419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b75b3332280ec9f28a74fd138a85f8d5be540d9df97abe39bcf8920a570ab2c

Aliases

arxiv: hep-ph/0703307 · arxiv_version: hep-ph/0703307v1 · doi: 10.48550/arxiv.hep-ph/0703307 · pith_short_12: TN23GMZCQDWJ · pith_short_16: TN23GMZCQDWJ6KFH · pith_short_8: TN23GMZC

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/TN23GMZCQDWJ6KFHJ7ITRKC7RV \
  | 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: 9b75b3332280ec9f28a74fd138a85f8d5be540d9df97abe39bcf8920a570ab2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a78acedf08a8d06205245f6a080b5df615e61d0f3c535a7fec95ebb5a9f35891",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2007-03-29T16:12:52Z",
    "title_canon_sha256": "3a1db6d43cf2277adedc88d47a4cfa71dc445dfbcb406ff774d32a78a9ad3fa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0703307",
    "kind": "arxiv",
    "version": 1
  }
}