Pith Number

pith:PFBGL3SZ

pith:2017:PFBGL3SZDNNWOSZG4DUWASJOQX

not attested not anchored not stored refs pending

A Toolkit for Constructing Dilations on Banach Spaces

Jochen Gl\"uck, Stephan Fackler

arxiv:1709.08547 v2 · 2017-09-25 · 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{PFBGL3SZDNNWOSZG4DUWASJOQX}

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	2026-05-18T00:03:50.034898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794265ee591b5b674b26e0e960492e85c681f4b012e0dd0cec89898d418903a3

Aliases

arxiv: 1709.08547 · arxiv_version: 1709.08547v2 · doi: 10.48550/arxiv.1709.08547 · pith_short_12: PFBGL3SZDNNW · pith_short_16: PFBGL3SZDNNWOSZG · pith_short_8: PFBGL3SZ

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/PFBGL3SZDNNWOSZG4DUWASJOQX \
  | 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: 794265ee591b5b674b26e0e960492e85c681f4b012e0dd0cec89898d418903a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8352d4eafb8bab9fc52798c9d532bc296e39730e9dc4cb4c02293a5085891152",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-25T15:18:15Z",
    "title_canon_sha256": "ecbf3106f45952b9f0a1298c823da5b39816008fe9fa7eca107624e3aac47e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08547",
    "kind": "arxiv",
    "version": 2
  }
}