Pith Number

pith:KUNUUS5M

pith:2003:KUNUUS5MUL33NJVITYMF5LBMBF

not attested not anchored not stored refs pending

Renormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density

D. Zappala', M. Mazza, P. Castorina

arxiv:hep-th/0305162 v2 · 2003-05-19 · 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{KUNUUS5MUL33NJVITYMF5LBMBF}

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	2026-07-04T16:41:16.310271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

551b4a4baca2f7b6a6a89e185eac2c094e228ec86ae07d4e52b8ff591f9eaed7

Aliases

arxiv: hep-th/0305162 · arxiv_version: hep-th/0305162v2 · doi: 10.48550/arxiv.hep-th/0305162 · pith_short_12: KUNUUS5MUL33 · pith_short_16: KUNUUS5MUL33NJVI · pith_short_8: KUNUUS5M

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/KUNUUS5MUL33NJVITYMF5LBMBF \
  | 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: 551b4a4baca2f7b6a6a89e185eac2c094e228ec86ae07d4e52b8ff591f9eaed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57fd64ee45a82886a1b56213269cc4d74bc9067d9d12acc058ba916a5b9cf443",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-05-19T17:30:34Z",
    "title_canon_sha256": "40194b556d2b2f751c8c2547f8c0a1d9935d0f97a5bba2a560e486eed072b32b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0305162",
    "kind": "arxiv",
    "version": 2
  }
}