Pith Number

pith:KUXTE4S6

pith:2019:KUXTE4S673DKMSG3FMMH33U76G

not attested not anchored not stored refs pending

Polyakov linear-sigma model in mean-field approximation and optimized perturbation theory

Abdel Magied Diab (Egyptian Ctr. Theor. Phys., Abdel Nasser Tawfik (Nile U., Cairo, Cairo), Carsten Greiner (Johann Wolfgang Goethe-Universitat), ECTP, H. Anwer (Cairo U.), Johann Wolfgang Goethe-Universitat), M.T. Ghoneim, WLCAPP

arxiv:1908.05939 v1 · 2019-08-16 · 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{KUXTE4S673DKMSG3FMMH33U76G}

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	2026-07-05T00:51:20.083298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

552f32725efec6a648db2b187dee9ff18eed96120fb4c37c1dcadedeca680717

Aliases

arxiv: 1908.05939 · arxiv_version: 1908.05939v1 · doi: 10.48550/arxiv.1908.05939 · pith_short_12: KUXTE4S673DK · pith_short_16: KUXTE4S673DKMSG3 · pith_short_8: KUXTE4S6

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/KUXTE4S673DKMSG3FMMH33U76G \
  | 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: 552f32725efec6a648db2b187dee9ff18eed96120fb4c37c1dcadedeca680717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54cebfad2eba37c9eeaf284f400eef8061afa9b3927539ca1c487e44b4b75d0b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-08-16T11:45:24Z",
    "title_canon_sha256": "14b66d9bd07584886bc01f9ccb3d5abdb0e8f73c49d6f0d125c4a9dfab7a5bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05939",
    "kind": "arxiv",
    "version": 1
  }
}