Pith Number

pith:ZGNIPXSF

pith:2004:ZGNIPXSFJUU2256G7WUSKMCBIH

not attested not anchored not stored refs pending

The 2PI finite temperature effective potential of the O(N) linear sigma model in 1+1 dimensions, at next-to-leading order in 1/N

Jurgen Baacke, Stefan Michalski

arxiv:hep-ph/0407152 v2 · 2004-07-13 · 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{ZGNIPXSFJUU2256G7WUSKMCBIH}

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	2026-05-18T01:06:11.275881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c99a87de454d29ad77c6fda925304141c9732d3336679babba6be4c7da672401

Aliases

arxiv: hep-ph/0407152 · arxiv_version: hep-ph/0407152v2 · doi: 10.48550/arxiv.hep-ph/0407152 · pith_short_12: ZGNIPXSFJUU2 · pith_short_16: ZGNIPXSFJUU2256G · pith_short_8: ZGNIPXSF

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/ZGNIPXSFJUU2256G7WUSKMCBIH \
  | 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: c99a87de454d29ad77c6fda925304141c9732d3336679babba6be4c7da672401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1d6099773e8b5eb5ef8c0d89fc964f2953b6aa3416d0c3648f813a009a41b3",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2004-07-13T17:08:42Z",
    "title_canon_sha256": "1b5e997c6dc4f1f71209d77571ff3ef43842cc7b8d649ca0b9e884c039a53032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0407152",
    "kind": "arxiv",
    "version": 2
  }
}