Pith Number

pith:UDNAEUQU

pith:2005:UDNAEUQUGF32KBJXC4TWBGGMJ5

not attested not anchored not stored refs pending

Goldstone boson counting in linear sigma models with chemical potential

Tomas Brauner

arxiv:hep-ph/0508011 v2 · 2005-07-31 · hep-ph · hep-th · nucl-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{UDNAEUQUGF32KBJXC4TWBGGMJ5}

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

1 paper in Pith

Schwinger-Keldysh effective field theory of type-B Goldstone: near-diagonal geometry and Berry term

Receipt and verification

First computed	2026-07-04T14:48:00.060440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0da0252143177a5053717276098cc4f7936f8c3c2204c1078d635b64eebd355

Aliases

arxiv: hep-ph/0508011 · arxiv_version: hep-ph/0508011v2 · doi: 10.48550/arxiv.hep-ph/0508011 · pith_short_12: UDNAEUQUGF32 · pith_short_16: UDNAEUQUGF32KBJX · pith_short_8: UDNAEUQU

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/UDNAEUQUGF32KBJXC4TWBGGMJ5 \
  | 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: a0da0252143177a5053717276098cc4f7936f8c3c2204c1078d635b64eebd355

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45721ee5fec52b015a9c34915453618f80cef74d60491eb02354e617bd617fd6",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2005-07-31T13:22:38Z",
    "title_canon_sha256": "d2704952eead5098a57cd830046b8903deb695fcdc508b905cc4473a2138102d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0508011",
    "kind": "arxiv",
    "version": 2
  }
}