Pith Number

pith:VU3TRR4Q

pith:2017:VU3TRR4QZV7W47OGE3DAMBQFGK

not attested not anchored not stored refs pending

Frequently hypercyclic bilateral shifts

Karl-G. Grosse-Erdmann

arxiv:1707.03994 v1 · 2017-07-13 · 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{VU3TRR4QZV7W47OGE3DAMBQFGK}

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	2026-05-18T00:40:22.893429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad3738c790cd7f6e7dc626c606060532a81eeb3b6ac9b9a34f24591215ffef13

Aliases

arxiv: 1707.03994 · arxiv_version: 1707.03994v1 · doi: 10.48550/arxiv.1707.03994 · pith_short_12: VU3TRR4QZV7W · pith_short_16: VU3TRR4QZV7W47OG · pith_short_8: VU3TRR4Q

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/VU3TRR4QZV7W47OGE3DAMBQFGK \
  | 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: ad3738c790cd7f6e7dc626c606060532a81eeb3b6ac9b9a34f24591215ffef13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb0a51c3f169ba9f71cb6eec0de1a80b8118d7c86501326e26abcd20c5b4bfaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-13T07:09:30Z",
    "title_canon_sha256": "c63f6eb1ad79414eb933b1393893719cff540693ba55e58f8cd3c2030e489724"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03994",
    "kind": "arxiv",
    "version": 1
  }
}