Pith Number

pith:KPCAFHXK

pith:1995:KPCAFHXKL7EU6KNNQCDGL5LFP4

not attested not anchored not stored refs pending

Cluster Expansion Approach to the Effective Potential in $\Phi^4_{2+1}$-Theory

Andreas Peter, Joern M. Haeuser, Markus H. Thoma, Wolfgang Cassing

arxiv:hep-th/9502103 v1 · 1995-02-16 · 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{KPCAFHXKL7EU6KNNQCDGL5LFP4}

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	2026-05-18T01:06:03.097592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c4029eea5fc94f29ad808665f5657f1b422da22cc866375156c25cff492378

Aliases

arxiv: hep-th/9502103 · arxiv_version: hep-th/9502103v1 · doi: 10.48550/arxiv.hep-th/9502103 · pith_short_12: KPCAFHXKL7EU · pith_short_16: KPCAFHXKL7EU6KNN · pith_short_8: KPCAFHXK

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/KPCAFHXKL7EU6KNNQCDGL5LFP4 \
  | 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: 53c4029eea5fc94f29ad808665f5657f1b422da22cc866375156c25cff492378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19a57b2ecda9c648487d9b5c98adc19b2d59f4eee633234374c059db04d7ae6a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1995-02-16T15:10:22Z",
    "title_canon_sha256": "57dac309e4732dc81c8785e21b10ba6f974800e5308b068b65d125981b8dcdea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9502103",
    "kind": "arxiv",
    "version": 1
  }
}