Pith Number

pith:SEKC3JZC

pith:2013:SEKC3JZCCIWKH3SX3UPIQC3NTI

not attested not anchored not stored refs pending

Hypercyclic operators and rotated orbits with polynomial phases

Fr\'ed\'eric Bayart, George Costakis

arxiv:1304.0176 v1 · 2013-03-31 · 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{SEKC3JZCCIWKH3SX3UPIQC3NTI}

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	2026-05-18T00:44:29.907434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91142da722122ca3ee57dd1e880b6d9a0759a979dedb557ff32843430c56dc93

Aliases

arxiv: 1304.0176 · arxiv_version: 1304.0176v1 · doi: 10.48550/arxiv.1304.0176 · pith_short_12: SEKC3JZCCIWK · pith_short_16: SEKC3JZCCIWKH3SX · pith_short_8: SEKC3JZC

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/SEKC3JZCCIWKH3SX3UPIQC3NTI \
  | 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: 91142da722122ca3ee57dd1e880b6d9a0759a979dedb557ff32843430c56dc93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb18f11b8068a11ab57e622eee36cd2034d4d8ab62ad7d0cc038f95e6ec36e1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-31T09:13:25Z",
    "title_canon_sha256": "d32997a0662f00df91fb9fea77445b3f6e60d40ae38dd05b44fd50c2fdec75d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0176",
    "kind": "arxiv",
    "version": 1
  }
}