Pith Number

pith:NNUIYBIG

pith:1998:NNUIYBIGA2WUC7ORETKZRXLKPH

not attested not anchored not stored refs pending

A Generalized Fluctuation-Dissipation Theorem for Nonlinear Response Functions

Enke Wang, Ulrich Heinz

arxiv:hep-th/9809016 v1 · 1998-09-02 · hep-th · 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{NNUIYBIGA2WUC7ORETKZRXLKPH}

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

2 papers in Pith

Schwinger-Keldysh effective theory of charge transport: redundancies and systematic $\omega/T$ expansion

Response theory for quantum fields in isolation

Receipt and verification

First computed	2026-07-04T15:54:12.787875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b688c050606ad417dd124d598dd6a79f9a1e2a99330cdf3c9d73b5915763c86

Aliases

arxiv: hep-th/9809016 · arxiv_version: hep-th/9809016v1 · doi: 10.48550/arxiv.hep-th/9809016 · pith_short_12: NNUIYBIGA2WU · pith_short_16: NNUIYBIGA2WUC7OR · pith_short_8: NNUIYBIG

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/NNUIYBIGA2WUC7ORETKZRXLKPH \
  | 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: 6b688c050606ad417dd124d598dd6a79f9a1e2a99330cdf3c9d73b5915763c86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4705ace3347a5ff5aaddf2b5a6535ccd553c3412bba593b9f6c51148065f3dde",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-09-02T14:36:53Z",
    "title_canon_sha256": "1461bfdea8c03d284a9348d7396017e3066744bbb495bbe4f417379f9413f6df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9809016",
    "kind": "arxiv",
    "version": 1
  }
}