Pith Number

pith:AWTIQ5AS

pith:2010:AWTIQ5ASQJFPFRWQTZTUYPKB5Y

not attested not anchored not stored refs pending

Hypercyclic operators on topological vector spaces

Stanislav Shkarin

arxiv:1008.3267 v1 · 2010-08-19 · 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{AWTIQ5ASQJFPFRWQTZTUYPKB5Y}

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	2026-05-18T02:58:01.912796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05a6887412824af2c6d09e674c3d41ee0db17c326a95199c1bd5a953f0dd8b6f

Aliases

arxiv: 1008.3267 · arxiv_version: 1008.3267v1 · doi: 10.48550/arxiv.1008.3267 · pith_short_12: AWTIQ5ASQJFP · pith_short_16: AWTIQ5ASQJFPFRWQ · pith_short_8: AWTIQ5AS

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/AWTIQ5ASQJFPFRWQTZTUYPKB5Y \
  | 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: 05a6887412824af2c6d09e674c3d41ee0db17c326a95199c1bd5a953f0dd8b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69097efc622e91316e64d05bc155f4f27339ae3e6f002c298e4564f286bf6fb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-08-19T10:37:40Z",
    "title_canon_sha256": "3e3e4b19375ac5cd383f26d757b575a90b6020a83ab17f2289ca0fae44b4cc51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3267",
    "kind": "arxiv",
    "version": 1
  }
}