Pith Number

pith:47WGHPDE

pith:2008:47WGHPDEAJJJ6UYTILXSBAHB2B

not attested not anchored not stored refs pending

The growth of a C_0-semigroup characterised by its cogenerator

Hans Zwart, Tanja Eisner

arxiv:0805.2020 v2 · 2008-05-14 · 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{47WGHPDEAJJJ6UYTILXSBAHB2B}

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	2026-05-18T04:42:12.584551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7ec63bc6402529f531342ef2080e1d075fe1a444038df4317d2ac1ce0364aef

Aliases

arxiv: 0805.2020 · arxiv_version: 0805.2020v2 · doi: 10.48550/arxiv.0805.2020 · pith_short_12: 47WGHPDEAJJJ · pith_short_16: 47WGHPDEAJJJ6UYT · pith_short_8: 47WGHPDE

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/47WGHPDEAJJJ6UYTILXSBAHB2B \
  | 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: e7ec63bc6402529f531342ef2080e1d075fe1a444038df4317d2ac1ce0364aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f056ddf4f0bde9e0ae456ea79313e92fafca2cf21769a4ef75e0468665e9f274",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-05-14T10:43:48Z",
    "title_canon_sha256": "d080c7f66fdec4331b53a7899030d64f84236a13681a1d5dd354dae786821126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.2020",
    "kind": "arxiv",
    "version": 2
  }
}