Pith Number

pith:LPNUK4GA

pith:2009:LPNUK4GAINVPHRV7HLWSNCCFWV

not attested not anchored not stored refs pending

Pion condensation in the Gross-Neveu model with nonzero baryon and isospin chemical potentials

D. Ebert, K. G. Klimenko

arxiv:0902.1861 v1 · 2009-02-11 · 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{LPNUK4GAINVPHRV7HLWSNCCFWV}

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	2026-05-18T03:24:07.929186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bdb4570c0436af3c6bf3aed268845b55a76eee6e5ec21f56ebb6ed37d69bb77

Aliases

arxiv: 0902.1861 · arxiv_version: 0902.1861v1 · doi: 10.48550/arxiv.0902.1861 · pith_short_12: LPNUK4GAINVP · pith_short_16: LPNUK4GAINVPHRV7 · pith_short_8: LPNUK4GA

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/LPNUK4GAINVPHRV7HLWSNCCFWV \
  | 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: 5bdb4570c0436af3c6bf3aed268845b55a76eee6e5ec21f56ebb6ed37d69bb77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98685760931e6918730ac9fcbcaf8f4cd487e75f0e3a28fc4852567747a13ecb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-02-11T12:20:20Z",
    "title_canon_sha256": "087d84a9c6dab978737781344f0d38672dd424134c03f94568129035d055d4b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1861",
    "kind": "arxiv",
    "version": 1
  }
}