Pith Number

pith:4G6YZ4ZZ

pith:1995:4G6YZ4ZZAFSLK4ABJPKRHWJGKG

not attested not anchored not stored refs pending

Phase Transitions at Finite Temperature and Dimensional Reduction for Fermions and Bosons

A. Kocic, J. B. Kogut

arxiv:hep-lat/9507012 v2 · 1995-07-11 · hep-lat · cond-mat · hep-ph · hep-th · 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{4G6YZ4ZZAFSLK4ABJPKRHWJGKG}

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	2026-05-18T01:39:13.444121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1bd8cf3390164b570014bd513d92651b7253baa6ee50eb297a150be6b15b5c9

Aliases

arxiv: hep-lat/9507012 · arxiv_version: hep-lat/9507012v2 · doi: 10.48550/arxiv.hep-lat/9507012 · pith_short_12: 4G6YZ4ZZAFSL · pith_short_16: 4G6YZ4ZZAFSLK4AB · pith_short_8: 4G6YZ4ZZ

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/4G6YZ4ZZAFSLK4ABJPKRHWJGKG \
  | 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: e1bd8cf3390164b570014bd513d92651b7253baa6ee50eb297a150be6b15b5c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c3cfc361619ef947aca21991ca56edefc66526ef2b38d0d18d623510b3e48ca",
    "cross_cats_sorted": [
      "cond-mat",
      "hep-ph",
      "hep-th",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "1995-07-11T16:12:44Z",
    "title_canon_sha256": "96161ca6e208a6171a3fbf48d3c696758721d8a7c9038492994f43843f874d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/9507012",
    "kind": "arxiv",
    "version": 2
  }
}