Pith Number

pith:SL6UQXEG

pith:2011:SL6UQXEGYFGDBHTXFAGLZH2X2U

not attested not anchored not stored refs pending

Thermodynamics of the O(4) linear and nonlinear models within the auxiliary field method

Elina Seel

arxiv:1108.2180 v1 · 2011-08-10 · 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{SL6UQXEGYFGDBHTXFAGLZH2X2U}

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	2026-05-18T04:15:49.158213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92fd485c86c14c309e77280cbc9f57d526ddfb00b733fcca2509b75449f52641

Aliases

arxiv: 1108.2180 · arxiv_version: 1108.2180v1 · doi: 10.48550/arxiv.1108.2180 · pith_short_12: SL6UQXEGYFGD · pith_short_16: SL6UQXEGYFGDBHTX · pith_short_8: SL6UQXEG

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/SL6UQXEGYFGDBHTXFAGLZH2X2U \
  | 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: 92fd485c86c14c309e77280cbc9f57d526ddfb00b733fcca2509b75449f52641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b84fc79e26fda7077b0e218cd4b2f0bca109bd4a4011e52e00c3faeb6b19e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-08-10T13:37:11Z",
    "title_canon_sha256": "5a551773a48aba6d652f464e7c0d3a026de0d956b5e1d408e64e5a51c0e21e3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2180",
    "kind": "arxiv",
    "version": 1
  }
}