Pith Number

pith:K6LGPNTO

pith:2016:K6LGPNTONVKBSDQXWZSMIK6TAT

not attested not anchored not stored refs pending

Linear Response Theory: A Modern Analytic-Algebraic Approach

Giuseppe De Nittis, Max Lein

arxiv:1612.01710 v1 · 2016-12-06 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K6LGPNTONVKBSDQXWZSMIK6TAT}

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	2026-05-18T00:55:47.778462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

579667b66e6d54190e17b664c42bd304ed14723e124e043647516327aecd6c12

Aliases

arxiv: 1612.01710 · arxiv_version: 1612.01710v1 · doi: 10.48550/arxiv.1612.01710 · pith_short_12: K6LGPNTONVKB · pith_short_16: K6LGPNTONVKBSDQX · pith_short_8: K6LGPNTO

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/K6LGPNTONVKBSDQXWZSMIK6TAT \
  | 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: 579667b66e6d54190e17b664c42bd304ed14723e124e043647516327aecd6c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c00a804248c3f0de1e7d657ce518ec118b7dd5ed0965ec9c992401f329e311",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-06T08:54:35Z",
    "title_canon_sha256": "bd3053f4c3ca53093d62b401dc3906cd892dc16ab3b1996b82e71824b968c0d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01710",
    "kind": "arxiv",
    "version": 1
  }
}