Pith Number

pith:HMELYANY

pith:2001:HMELYANYJC5JBEA7AH4MNNZPWL

not attested not anchored not stored refs pending

Common hypercyclic vectors for multiples of backward shift

Evgeny Abakumov, Julia Gordon

arxiv:math/0112085 v1 · 2001-12-08 · 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{HMELYANYJC5JBEA7AH4MNNZPWL}

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	2026-05-18T01:05:37.446242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b08bc01b848ba90901f01f8c6b72fb2e20cdac612d2304a7d731a402f8d623c

Aliases

arxiv: math/0112085 · arxiv_version: math/0112085v1 · doi: 10.48550/arxiv.math/0112085 · pith_short_12: HMELYANYJC5J · pith_short_16: HMELYANYJC5JBEA7 · pith_short_8: HMELYANY

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/HMELYANYJC5JBEA7AH4MNNZPWL \
  | 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: 3b08bc01b848ba90901f01f8c6b72fb2e20cdac612d2304a7d731a402f8d623c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89af9443766d91a51096a434d1761a09c5084cb2d3962ff68073cf82ab1dbe10",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2001-12-08T19:07:15Z",
    "title_canon_sha256": "fda7e198607c662f78a8c1fd1f7d395c6d9d5e9be0281621bc7fdb13a7d39e61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112085",
    "kind": "arxiv",
    "version": 1
  }
}