Pith Number

pith:WCBKSZKP

pith:2000:WCBKSZKPN5WFDHLTXS5QPKLR3L

not attested not anchored not stored refs pending

Random Matrix Theory and Chiral Symmetry in QCD

J.J.M. Verbaarschot, T. Wettig

arxiv:hep-ph/0003017 v2 · 2000-03-02 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCBKSZKPN5WFDHLTXS5QPKLR3L}

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.

Cited by

4 papers in Pith

The Chiral Random-Matrix Ensemble of the Type-IIB Axion--Dilaton Wormhole Partition Function

Topological Control of Quantum Chaos Diagnostics: OTOCs, Spectral Statistics, and Information Scrambling in Ising Model

Relativistic Cooper pairing in the microscopic limit of chiral random matrix theory

Analysis of the QCD Kondo phase using random matrices

Receipt and verification

First computed	2026-07-04T16:20:03.299148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b082a9654f6f6c519d73bcbb07a971dad04bf0e3b1273dbfa95ace7afdebf3bd

Aliases

arxiv: hep-ph/0003017 · arxiv_version: hep-ph/0003017v2 · doi: 10.48550/arxiv.hep-ph/0003017 · pith_short_12: WCBKSZKPN5WF · pith_short_16: WCBKSZKPN5WFDHLT · pith_short_8: WCBKSZKP

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/WCBKSZKPN5WFDHLTXS5QPKLR3L \
  | 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: b082a9654f6f6c519d73bcbb07a971dad04bf0e3b1273dbfa95ace7afdebf3bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4941b8be513f45f19667f3ecfa4ade67b22447ae492b6ee5be4becc32eaefa39",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-03-02T21:52:56Z",
    "title_canon_sha256": "91a1592ff6e59c44e81dfe37da5bb7f1481f6d03aabbc7aaa3c80dcb35393081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0003017",
    "kind": "arxiv",
    "version": 2
  }
}