Pith Number

pith:CX7K7SWO

pith:2014:CX7K7SWOGKPNK4RNXTRJIF43N7

not attested not anchored not stored refs pending

Feedback theory extended for proving generation of contraction semigroups

Hans Zwart, Mikael Kurula

arxiv:1403.3564 v2 · 2014-03-14 · math.OC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CX7K7SWOGKPNK4RNXTRJIF43N7}

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	2026-05-18T01:27:38.702431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15feafcace329ed5722dbce294179b6fd596e43d449f21273406a385919c9041

Aliases

arxiv: 1403.3564 · arxiv_version: 1403.3564v2 · doi: 10.48550/arxiv.1403.3564 · pith_short_12: CX7K7SWOGKPN · pith_short_16: CX7K7SWOGKPNK4RN · pith_short_8: CX7K7SWO

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/CX7K7SWOGKPNK4RNXTRJIF43N7 \
  | 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: 15feafcace329ed5722dbce294179b6fd596e43d449f21273406a385919c9041

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73be38833b2ccbc6bcbe8af7f3b09768f731d90166b5b4009efc06a67f70baf7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-03-14T13:05:11Z",
    "title_canon_sha256": "c745f4819c203b4d4c75010e6a06fdb3a8e1156b5f0a11b11d7882fd073c35d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3564",
    "kind": "arxiv",
    "version": 2
  }
}