Pith Number

pith:LU7A74BO

pith:2001:LU7A74BOA3DIDQDOYSLD5FYLYY

not attested not anchored not stored refs pending

Gell-Mann - Oakes - Renner relation in a magnetic field at finite temperature

I.A. Shushpanov, N.O. Agasian

arxiv:hep-ph/0107128 v1 · 2001-07-11 · 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{LU7A74BOA3DIDQDOYSLD5FYLYY}

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

3 papers in Pith

Hadronic exceptional points

Chiral Properties of $(2\!+\!1)$-Flavor QCD in Magnetic Fields at Zero Temperature

Mass spectra of charged mesons and the quenching of vector meson condensation via exact phase-space diagonalization

Receipt and verification

First computed	2026-07-04T17:20:59.722355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d3e0ff02e06c681c06ec4963e970bc6297003b33b4a9fb92f0be4f92e2b38b9

Aliases

arxiv: hep-ph/0107128 · arxiv_version: hep-ph/0107128v1 · doi: 10.48550/arxiv.hep-ph/0107128 · pith_short_12: LU7A74BOA3DI · pith_short_16: LU7A74BOA3DIDQDO · pith_short_8: LU7A74BO

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/LU7A74BOA3DIDQDOYSLD5FYLYY \
  | 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: 5d3e0ff02e06c681c06ec4963e970bc6297003b33b4a9fb92f0be4f92e2b38b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b042744e7af084524ed3c3a141ae52e04ce40a919bb03fec93cd6f25d47a61",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-07-11T16:21:28Z",
    "title_canon_sha256": "01727e101c5bdc8911d502a21dca5208d5a5e9b4421428b2cac132166e48b5f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0107128",
    "kind": "arxiv",
    "version": 1
  }
}