Pith Number

pith:FPNJW6XX

pith:2010:FPNJW6XXOPXRAKAHDJMPLTNU6H

not attested not anchored not stored refs pending

Exponential dichotomies of evolution operators in Banach spaces

Mihail Megan, Nicolae Lupa

arxiv:1003.5853 v3 · 2010-03-30 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPNJW6XXOPXRAKAHDJMPLTNU6H}

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	2026-05-18T02:32:31.311860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bda9b7af773ef1028071a58f5cdb4f1d49ef25e3d9232a45c0fff72faf52f43

Aliases

arxiv: 1003.5853 · arxiv_version: 1003.5853v3 · doi: 10.48550/arxiv.1003.5853 · pith_short_12: FPNJW6XXOPXR · pith_short_16: FPNJW6XXOPXRAKAH · pith_short_8: FPNJW6XX

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/FPNJW6XXOPXRAKAHDJMPLTNU6H \
  | 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: 2bda9b7af773ef1028071a58f5cdb4f1d49ef25e3d9232a45c0fff72faf52f43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "644594ed743ef7e998153683aac632f7e2212d2445fd75b0b29e54c19a01cdec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-30T15:55:14Z",
    "title_canon_sha256": "d5dfd424e80cf6d6e0dda318a4e07eee3b77d31c5b16768ee0fbb7606404844f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5853",
    "kind": "arxiv",
    "version": 3
  }
}