Pith Number

pith:YLFFBYBT

pith:2002:YLFFBYBTMFA2SOJIRGSQTDK7HJ

not attested not anchored not stored refs pending

Dirac Spectra and Real QCD at Nonzero Chemical Potential

D. Toublan, J.J.M. Verbaarschot

arxiv:hep-th/0208021 v1 · 2002-08-02 · hep-th · cond-mat · hep-lat · 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{YLFFBYBTMFA2SOJIRGSQTDK7HJ}

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	2026-05-18T00:36:53.765163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2ca50e0336141a9392889a5098d5f3a4c9f906c706db6b77b19a2944044eb8a

Aliases

arxiv: hep-th/0208021 · arxiv_version: hep-th/0208021v1 · doi: 10.48550/arxiv.hep-th/0208021 · pith_short_12: YLFFBYBTMFA2 · pith_short_16: YLFFBYBTMFA2SOJI · pith_short_8: YLFFBYBT

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/YLFFBYBTMFA2SOJIRGSQTDK7HJ \
  | 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: c2ca50e0336141a9392889a5098d5f3a4c9f906c706db6b77b19a2944044eb8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae5f3f3d3a23407e9424e64fa1feb62dd5e5d192cd9fd6c2fb88eb1f0757ace7",
    "cross_cats_sorted": [
      "cond-mat",
      "hep-lat",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-08-02T21:46:33Z",
    "title_canon_sha256": "bcdeca674165611a1ab6b8ea41700652a30ef7c79d1e6e4747efeaefc4597f98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0208021",
    "kind": "arxiv",
    "version": 1
  }
}