Pith Number

pith:LWRNF4JI

pith:2015:LWRNF4JIHF7GF57TBMTJFJTPTE

not attested not anchored not stored refs pending

A Rigorous Computational Approach to Linear Response

Isaia Nisoli, Stefano Galatolo, Wael Bahsoun, Xiaolong Niu

arxiv:1506.08661 v3 · 2015-06-29 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWRNF4JIHF7GF57TBMTJFJTPTE}

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	2026-05-18T00:36:33.617922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5da2d2f128397e62f7f30b2692a66f992765887e33c95ad7d1820ead23fc3100

Aliases

arxiv: 1506.08661 · arxiv_version: 1506.08661v3 · doi: 10.48550/arxiv.1506.08661 · pith_short_12: LWRNF4JIHF7G · pith_short_16: LWRNF4JIHF7GF57T · pith_short_8: LWRNF4JI

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/LWRNF4JIHF7GF57TBMTJFJTPTE \
  | 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: 5da2d2f128397e62f7f30b2692a66f992765887e33c95ad7d1820ead23fc3100

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b72c0aed1036accfa5b023d43e5a7d8e1523a9cb85e2d7511ffdc52d48fa56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-06-29T14:51:36Z",
    "title_canon_sha256": "ec66ce81e14c6b9147e90d8da6060ce60801770af63bc8394f1a9b3cad2e84d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08661",
    "kind": "arxiv",
    "version": 3
  }
}